Bibliography. 1. Interpolation of linear operators, Transactions of the American Mathematical Society, 83 (1956),

Transcription

1 Elias M. Stein Bibliography 1. Interpolation of linear operators, Transactions of the American Mathematical Society, 83 (1956), Functions of exponential type, Annals of Mathematics, 65 (1957), Interpolation in polynomial classes and Markoff s inequality, Duke Mathematical Journal, 24 (1957), Note on singular integrals, Proceedings of the American Mathematical Society, 8 (1957), (with G. Weiss) On the inerpolation of analytic families of operators action on H p spaces, Tohoku Mathematical Journal, 9 (1957), (with E. H. Ostrow) A generalization of lemmas of Marcinkiewicz and Fine with applications to singular integrals, Annali Scula Normale Superiore Pisa, 11 (1957), A maximal function with applications to Fourier series, Annals of Mathematics, 68 (1958), (with G. Weiss) Fractional integrals on n-dimensional Euclidean space, Journal of Mathematics and Mechanics, 7 (1958), (with G. Weiss) Interpolation of operators with change of measures, Transactions of the American Mathematical Society, 87 (1958), Localization and summability of multiple Fourier series, Acta Mathematica, 100 (1958), On the functions of Littlewood-Paley, Lusin, Marcinkiewicz, Transactions of the American Mathematical Society, 88 (1958), (with G. Weiss) An extension of a theorem of Marcinkiewicz and some of its applications, Journal of Mathematics and Mechanics, 8 (1959), (with G. Weiss) On the theory of harmonic functions of serveral variables I. The theory of H p spaces, Acta Mathematica, 103 (1960),

2 Elias M. Stein (with R. A. Kunze) Uniformly bounded representations and harmonic analysis of the 2 2 real unimodular group, American Journal of Mathematics, 82 (1960), The characterization of functions arising as potentials, Bulletin of the American Mathematical Society, 67 (1961), ; II, 68, 1962, On some functions of Littlewood-Paley and Zygmund, Bulletin of the American Mathematical Society, 67 (1961), On limits of sequences of operators, Annals of Mathematics, 74 (1961), On the theory of harmonic functions of several variables II. Behavior near the boundary, Acta Mathematica, 106 (1961), On certain exponential sums arising in multiple Fourier series, Annals of Mathematics, 73 (1961), (with R. A. Kunze) Analytic continuation of the principal series, Bulletin of the American Mathematical Society, 67 (1961), On the maximal ergodic theorem, Proceedings of the National Academy of Sciences, 47 (1961), (with R. A. Kunze) Uniformly bounded representations II. Analytic continuation of the principal series of representations of the n n complex unimodular groups, American Journal of Mathematics, 83 (1961), (with A. Zygmund) Smoothness and differentiability of functions, Ann. Univ. Sci. Budapest, Sectio Math., III-IV ( ), Conjugate harmonic functions in several variables, (Proceedings of the International Congress of Mathematicians, Djursholm-Linden, Institut Mittag-Leffler, 1963), (with A. Zygmund) On the differentiability of functions, Studia Mathematica, 23 (1964), (with G. and M. Weiss) H p -classes of holomorphic functions in tube domains, Proceedings of the National Academy of Sciences, 52 (1964), Note on the boundary values of holomorphic functions, Annals of Mathematics, 82 (1965),

3 Elias M. Stein (with B. Muckenhoupt) Classical expansions and their relations to conjugate functions, Transactions of the American Mathematical Society, 118 (1965), Note on the boundary of holomorphic functions, Annals of Mathematics, 82 (1965), (with S. Wainger) Analytic properties of expansions and some variants of Parseval- Plancherel formulas, Arkiv for Mathematik, Band 5, 37 (1965), (with A. Zygmund) On the fractional differentiability of functions, London Mathematical Society Proceedings, 34A (1965), Classes H 2, multiplicateurs, et fonctions de Littlewood-Paley, Comptes Rendues Acad. Sci. Paris, 263 (1966), ; , also 264 (1967), (with R. Kunze)Uniformly bounded representations III. Intertwining operators, American Journal of Mathematics, 89 (1967), Singular integrals, harmonic functions and differentiability properties of functions of several variables, Proceedings of the Symposium on Pure Mathematics, 10 (1967), Analysis in matrix spaces and some new representations of SL(N,C), Annals of Mathematics, 86 (1967), (with A. Zygmund) Boundedness of translation invariant operators on Holder spaces and L p spaces, Annals of Mathematics, 85 (1967), Harmonic functions and Fatou s theorem, (Proceedings of the C.I.M.E. Summer Course on Homogeneous Bounded Domains, Cremonese, 1968). 38. (with A. Koranyi) Fatou s theorem for generalized halfplanes, Annali di Pisa, 22 (1968), (with G. Weiss) Generalizations of the Cauchy-Riemann equations and representations of the rotation group, American Journal of Mathematics, 90 (1968), (with A. Grossman and G. Loupias) An algebra of pseudodifferential operators and quantum mechanics in phase space, Ann. Inst. Fourier, Grenoble, 18 (1968), (with N. J. Weiss) Convergence of Poisson integrals for bounded symmetric domains, Proceedings of the National Academy of Sciences, 60 (1968), Note on the class L log L, Studia Mathematica, 32 (1969),

4 Elias M. Stein (with A. W. Knapp) Singular integrals and the principal series, Proceedings of the National Academy of Sciences, 63 (1969), (with N. J. Weiss) On the convergence of Poisson integrals, Transactions of the American Mathematical Society, 140 (1969), Singular integrals and differentiability properties of functions, Princeton: Princeton Univeristy Press, 1970, 287 pages. 46. (with A. W. Knapp) The existence of complementary series in problems in analysis, Pirnceton: Princeton Univ. Press, 1970, Topics in harmonic analysis related to the Littlewood-Paley theory, Annals of Mathematics Studies, Princeton University Press, 63 (1970), 145 pages. 48. Analytic continuation of group representations, Advances in Mathematics, 4 (1970), Boundary values of holomorphic functions, Bulletin of the American Mathematical Society, 76 (1970), (with A. W. Knapp) Singular integrals and the principal series II, Proceedings of the National Academy of Sciences, 66 (1970), (with S. Wainger) The estimating of an integral arising in multiplier transformations, Studia Mathematica, 35 (1970), (with G. Weiss)Introduction to Fourier analysis on Euclidean spaces, Princeton Univeristy Press, 1971, 297 pages. 53. (with A. Knapp) Intertwining operators for semi-simple groups, Annals of Mathematics, 93 (1971), (with C. Fefferman) Some maximal inequalities, American Journal of Mathematics, 93 (1971), L p boundedness of certain convolution operators, Bulletin of the American Mathematical Society, 77 (1971), Some problems in harmonic analysis suggested by symmetric spaces and semisimple groups, Proceedings of the International Congress of Mathematicians, Paris: Gauthier-Villers, 1 (1971), Boundary behavior of holomorphic functions of several complex variables, Princeton Mathematical Notes, Princeton University Press, 1972, 71 pages.

5 Elias M. Stein (with A. Knapp) Irreducibility theorems for the principal series, (Conference on harmonic analysis, Maryland), Springer Lecture Notes, 266 (1972), (with A. Koranyi)H 2 spaces of generalized half-planes, Studia Mathematica, XLIV (1972), (with C. Fefferman) H p spaces of several variables, Acta Mathematica, 129 (1972), Singular integrals and estimates for the Cauchy-Riemann equations, Bulletin of the Amer. Mathematical Society, 79 (1973), Singular integrals related to nilpotent groups and -estimates, (Proceedings of the symposium in Pure Mathematics), 26 (1973), (with R. Kunze)Uniformly bounded representations IV. Analytic continuation of the principal series for complex classical groups of types Bn, Cn, Dn, Advances in Mathematics, 11 (1973), (with G. B. Folland) Parametrices and estimates for the b complex on strongly pseudoconvex boundaries, Bulletin of the American Mathematical Society, 80 (1974), (with J. L. Clerc) L p multipliers for non-compact symmetric spaces, Proceedings of the National Academy of Sciences, 71 (1974), (with A. Knapp) Singular integrals and the principal series III, Proceedings of the National Academy of Sciences, 71 (1974), (with G. B. Folland) Estimates for the b complex and analysis on the Heisenberg group, Communications in Pure and Applied Mathematics, 27 (1974), Singular integrals, old and new, (in Colloquium Lectures of the 79th Summer Meeting of the American Mathematical Society, August 18-22, 1975), Providence, RI: American Mathematical Society, (1975). 69. (with P. Greiner and J. Kohn) Necessary and sufficient conditions for the solvability of the Lewy equation, Proceedings of the National Academy of Sciences, 72 (1975), (with A. Knapp) Singular integrals and the principal series, IV, Proceedings of the National Academy of Sciences, 72 (1975), Singular integral operators and nilpotent groups, (in Proceedings of C.I.M.E., Differential Operators on Manifolds, Rome: Cremonese, 1975),

6 Elias M. Stein Harmonic Analysis on R n, MAA Studies in Mathematics, 13 (1976), (with L. P. Rothschild) Hypoelliptic differential operators and nilpotent groups, Acta Mathematica, 137 (1976), (with A. W. Knapp) Intertwining operators for SL(n, r), Studies in Mathematical Physics, edited by E. Lieb, B. Simon and A. Wightman, Princeton University Press, (1976), Maximal functions: Spherical means, Proceedings of the National Academy of Sciences, 73 (1976), Maximal functions: Homogeneous curves, Proceedings of the National Academy of Sciences, 73 (1976), Maximal functions: Poisson integrals on symmetric spaces, Proceedings of the National Academy of Sciences, 73 (1976), (with S. Wainger) Maximal functions associated to smooth curves, Proceedings of the National Academy of Sciences, 73 (1976), (with P. Greiner) Estimates for the -Neumann problem, Mathematical Notes, Princeton University Press, 19 (1977), 194 pages. 80. (with D. H. Phong) Estimates for the Bergman and Szegö projections, Duke Mathematical Journal, 44 (1977), (with N. Kerzman) The Szegö kernels in terms of Cauchy-Fantappie kernels, Duke Mathematical Journal, 45 (1978), (with N. Kerzman) The Cauchy kernels, the Szegö kernel and the Riemann mapping function, Mathematische Annalen, 236 (1978), (with A. Nagel and S. Wainger) Differentiation in lacunary direction, Proceedings of the National Academy of Sciences, 75 (1978), (with A. Nagel) A new class of pseudo-differential operators, Proceedings of the National Academy of Sciences, 75 (1978), (with N. Kerzman) The Szeg/ o kernel in terms of the Cauchy-Fantappie kernels, (Proceedings of the Conference on Several Complex Variables, Cortona, 1977), (1978), (with P. Greiner) On the solvability of some differential operators of the type b, ibid., (1978),

7 Elias M. Stein (with S. Wainger) Problems in harmonic analysis related to curvature, Bulletin of the American Mathematical Society, 84 (1978), (with R. Gundy) H p theory for the poly-disc, Proceedings of the National Academy of Sciences, 76 (1979), Some problems in harmonic analysis, Proceedings of the Symposium in Pure and Applied Mathematics, 35 (1979), Part I, (with A. Nagel and S. Wainger) Hilbert transforms and maximal functions related to variable curves, ibid., (with A. Nagel) Some new classes of pseudo-differential operators, ibid, Part 2, A variant of the area integral, Bulletin of Science and Mathematics, 103 (1979), (with A. Nagel) Lectures on pseudo-differential operators: Regularity theorems and applications to non-elliptic problems, Mathematical Notes, 24 (1979), Princeton Univ. Press, 159 pages. 94. (with A. Knapp) Intertwining operators for semi-simple groups II, Inventiones mathematicae, 60 (1980), The differentiability of functions in R n, Annals of Mathematics, 113 (1981), Compositions of pseudo-differential operators, (in Proceedings of Journées equation aux derivés partielles, Saint-Jean de Monts, Juin 1981 ), Soc. Math. de France. 97. (with A. Nagel and S. Wainger) Boundary behavior of functions holomorphic in domains of finite type, Proceedings of the National Academy of Sciences, 78 (1981), (with A. Knapp) Some new intertwining operators for semi-simple groups, (in Noncommutative harmonic analysis on Lie groups, Colloq. Marseille-Luminy, 1981), Lecture Notes in Mathematics, 880 (1981), (with M. H. Taibleson and G. Weiss) Weak type estimates for maximal operators on certain H p classes, Rendiconti Circ. Mat. Pelermo, Suppl. n. 1 (1981),

8 Elias M. Stein (with D. H. Phong) Some further classes of pseudo-differential and singular integral operators arising in boundary value problems, I., Composition of operators, American Journal of Mathematics, 104 (1982), (with D. Geller) Singular convolution operators on the Heisenberg group, Bulletin of the American Mathematical Society, 6 (1982), (with R. Fefferman) Singular integrals in product spaces, Advances in Mathematics, 45 (1982), (with G. B. Folland) Hardy spaces on homogenous groups, Mathematical Notes,, Princeton University Press, 28 (1982), 284 pages The development of square functions in the work of A. Zygmund, Bulletin of the American Math. Society, 7 (1982), (with D. M. Oberlin) Mapping properties of the Radon transform, Indiana University Mathematical Journal, 31 (1982), An example on the Heisenberg group related to the Lewy operator, Inventiones mathematicae, 69 (1982), (with R. Fefferman, R. Gundy, and M. Silverstein)Inequalities for ratios of functionals of harmonic functions, Proceedings of the National Academy of Science, USA, 79 (1982), (With D. H. Phong) Singular integrals with kernels of mixed homogeneites, (Conference in Harmonic Analysis in honor of Antoni Zygmund, Chicago, 1981), Editors: W. Beckner, A. n, R. Fefferman, P. Jones, (1983), Wadsworth Int Some results in harmonic analysis in R n, for n, Bulletin of the American Math. Society, 9 (1983), An H 1 function with non-summable Fourier expansion, (Proc. Conference in Harmonic Analysis, Cortona, Italy, 1982), Lecture Notes in Mathematics, 992 (1983), Springer-Verlag, pp (with R. R. Coifman and Y. Meyer) Un nouvel espace fonctionel adapté a l étude des operateurs definis par des intégrales singulieres, ibid., Boundary behaviour of harmonic functions on symmetric spaces: Maximal estimates for Poisson integrals, Inventiones mathematicae, 74 (1983), (with J. O. Stromberg) Behavior of maximal functions in R n for large n, Arkiv f. Mat., 21 (1983),

9 Elias M. Stein (with D. H. Phong) Singular integrals related to the Radon transform and boundary value problems, Proc. Nat. Acad. Sci. USA, 80 (1983), (with D. Geller) Estimates for singular convolution operators on the Heisenberg group, Math. Ann., 267 (1984), (with A. Nagel) On certain maximal functions and approach regions, Advances in Math, 54 (1984), (with R. R. Coifman and Y. Meyer) Some new function spaces and their applications to harmonic analysis, Jour. Funct. Analysis, 62 (1985), Three variations on the theme of maximal functions, (Proceedings of the Seminar on Fourier Analysis, El Escorial, 1983) Recent Progress in Fourier Analysis, Editors: I. Peral and J. L. Rubiode Francia, Appendix to the paper Unique continuation... Annals of Math., 121 (1985), (with A. Nagel and S. Wainger) Balls and metrics defined by vector fields I: Basic properties, Acta Mathematica, 155 (1985), (with C. Sogge) Averages of functions over hypersurfaces, Inventiones Mathematicae, 82 (1985), Oscillatory integrals in Fourier analysis, in Beijing lectures on Harmonic analysis, Annals of Math. Study, 112 (1986), Princeton Univ. Press (with D.H. Phong) Hilbert integrals, singular integrals and Radon transforms I, Acta Mathematica, 157, (1986), (with D. H. Phong) Hilbert integrals, singular integrals and Radon transforms II, Inventiones Mathematicae, 86 (1986), (with F. Ricci) Oscillatory singular integrals and harmonic analysis on nilpotent groups, Proc. Nat. Acad. Sci. U.S.A., 83 (1986), (with F. Ricci) Homogeneous distributions on spaces of Hermitian matricies, Jour. Reine Angw. Math., 368 (1986), (with C. D. Sogge) Averages over hypersurfaces: II, Inventiones Mathematicae, 86 (1986), (with M. Christ) A remark on singular Calderón-Zygmund theory, Proceedings of the American Mathematical Society, 99, 1 (1987),

10 Elias M. Stein Problems in harmonic analysis related to curvature and oscillatory integrals, Proceedings Int. Congress of Math., at Berkeley, 1 (1987), (with F. Ricci) Harmonic analysis on nilpotent groups and singular integrals I, Jour. Functional Analysis, 73 (1987), (with F. Ricci) Harmonic analysis on nilpotent groups and singular integrals II, Jour. Functional Analysis, 78 (1988), (with A. Nagel, J. P. Rosay, and S. Wainger) Estimates for the Bergman and Szegö kernels in certain weakly pseudo-convex domains, Bull. Amer. Math. Soc., 18 (1988), (with A. Nagel and D. C. Chang) Estimates for the -Neumann problem for pseudoconvex domains in C 2 of finite type, Proc. Nat. Acad. Sci., 85 (1988), (with A. Nagel, J. P. Rosay, and S. Wainger) Estimates for the Bergman and Szegö kernels in C 2, Annals of Math., 128 (1989), (with D.H. Phong) Singular Radon transforms and oscillatory integrals, Duke Math. Jour., 58 (1989), (with F. Ricci) Harmonic analysis on nilpotent groups and singular integrals III, Jour. Functional Analysis, 86 (1989), (with A. Nagel and F. Ricci) Fundamental solutions and harmonic analysis on nilpotent groups, Bull. A.M.S., 23 (1990), (with A. Nagel and F. Ricci) Harmonic analysis and fundamental solutions on nilpotent lie groups in Analysis and P.D.E., a collection of papers dedicated to Mischa Cotlar Marcel Decker, New York (1990), (with C. D. Sogge) Averages over hypersurfaces, smoothness of generalized Radon transforms, Journal d Analyse Math., 54 (1990), (with S. Sahi) Analysis in matrix space and Spehs representations, Inventiones Math., 101 (1990), (with Wainger) Discrete analogues of singular Randon transforms, Bull. Amer. Math. Soc., 23 (1990), (with D. H. Phong) Radon Transforms and torsion, Duke Math. J. (International Math. Res. Notices), 4, (1991),

11 Elias M. Stein (with A. Seeger and C. Sogge) Regularity properties of Fourier integral operators, Annals of Math., 134 (1991), (with J. Stein) Stock price distributions with stochastic volatility: an analytic approach, Review of Financial Studies, 4 (1991), (with F. Ricci) Multi-parameter singular integrals and maximal functions, Ann. Inst. Fourier, 42 (1992), (with D. C. Chang and A. Nagel) Estimates for the -Neumann problem in pseudoconvex domains of finite type in C 2, Acta Math. 169 (1992), (with D. H. Phong) Oscillatory integrals with polynominal phases, Inventiones Mathematicae, 110 (1992), (with D. C. Chang and S. Krantz) Hardy spaces and elliptic boundary value problems, Contemporary Mathematics, 137 (1992), (with D. C. Chang and S. Krantz) H p Theory on a smooth domain in R n and elliptic boundary value problems, Jour. Functional Anal., 114 (1993), Harmonic Analysis: Real variable methods, orthogonality, and oscillatory integrals, Princeton University Press (1993) (with D. H. Phong) Operator versions of the van der Corput lemma and Fourier integral operators, Math. Research Letter, 1, (1994), (with D. H. Phong) On a stopping process for oscillatory integrals, The Journal of Geometric Analysis, 4, (1994), (with J. D. McNeal) Mapping properties of the Bergman projection on convex domains of finite type, Duke Math. J. 73, (1994), (with D. Muller) On spectral multipliers for the Heisenberg and related groups, J. Math. Pures et Appl. 73, (1994), (with D. H. Phong) Models of degenerate Fourier integral operators and Radon transforms, Annals of Math. 140 (1994), (with A. Nevo) A generalization of Birkhoff s pointwise ergodic theorem, Acta Math. 173 (1994), (with D. Muller and F. Ricci) Marcinkiewicz multipliers and multi-parameter structure on Heisenberg (-type) groups, I Invent. Math. 119 (1995),

12 Elias M. Stein Oscillatory integrals related to Radon-like transforms, Journal of Fourier Analysis and Applications, Kahane Special Issue, (1995), Spectral multipliers and multiple-parameter structures on the Heisenberg group, Proc. Cont. Journees Equations aux Derivees Partielles, St. Jean de Monts, 29-Mar-2 Juin 1995, XVI, 1-15, (1996) (with D. Müller and F. Ricci), Marcinkiwicz multipliers and multi-parameter structure on Heisenberg-type group, II, Math. Zeit. (1996), (with J. McNeal) The Szëgo projection on convex domains, Math. Zeit., 224, (1997), (with A. Nevo) Analogs of Wiener s ergodic theorem, Annals of Math., 145, (1997), (with D.H. Phong) The Newton polyhedron and oscillatory integral operator, Acta Math., 179, (1997), (with D.H. Phong) Damped Oscillatory Integral Operators with Analytic Phases, Advances in Mathematics, 134, (1998), Singular Integrals: The Roles of Calderón and Zygmund, Notices of the AMS, 45, (1998), (with C.E. Kenig) Multilinear Estimates & Fractional Integration, Math. Res. Ltrs., 6, (1999), (with D-C Chang, G. Dafni) Hardy Spaces, BMO, & Boundary Value Problems for the Laplacian on a Smooth Domain in R N, Trans. Amer. Math. Soc., 351, (1999), (with D.H. Phong, J.A. Sturm) On the Growth & Stability of Real-Analytic Functions, Amer. Jour. Math., 121, (1999), (with D. Müller) L p -estimates for the wave equation on the Heisenberg group, Revista Mat. Iberoamericana, Vol. 15, No. 2, (1999), (with S. Wainger) Discrete analogues in harmonic analysis I, Amer. Jour. Math., 121, (1999), (with M. Christ, A. Nagel, & S. Wainger) Singular and maximal Radon transforms, Annals of Math., 150, (1999),

13 Elias M. Stein (with G.A. Margulis and A. Nevo), Analogues of Wiener s ergodic theorems for semi-simple Lie groups, II, Duke Math Journal, 103, (2000), Some geometrical concepts arising in harmonic analysis, GAFA, Special Volume- GAFA2000, (with S. Wainger), Discrete nalogues in harmonic analysis II: fractional integration, Jounal d Analyse Math., Vol. 80, (2000), (with D.H. Phong & Jacob Sturm), Multilinear level set operators, oscillatory integral operators, and Newton polyhedra, Math. Ann., Vol. 319, (2001), (with A. Nagel & F. Ricci), Singular Integrals with Flag Kernels and Analysis on Quadratic CR Manifolds, Journal of Functional Analysis, Vol. 181, (2001), (with A. Nagel), Differentiable Control Metrics and Scaled Bump Functions, J. Differential Geometry, 57, (2001), (with A. Nagel), The b -Heat equation on pseudoconvex manifolds of finite type in C 2, Math. Zeit, 238, (2001), (with S. Wainger), Oscillatory integrals related to Carleson s theorem, Math. Res. Lett., 8, (2001), no. 5-6, (with A. Magyar and S. Wainger), Discrete analogues in harmonic analysis: Spherical averages, Annals of Math., 155, (2002), (with S. Wainger), Two discrete fractional integral operators revisted, Jour. d Analyse Math., (2002), 87, (with R. Shakarchi), Princeton Lectures in Analysis I, Fourier Analysis: An Introduction, Princeton University Press, ISBN X, (2003) (with R. Shakarchi), Princeton Lectures in Analysis II, Complex Analysis, Princeton University Press, ISBN , (2003) (with A. Nagel), On the product theory of singular integrals, Revista Iberoamericana, 20, (2004), (with L. Lanzani), Szegö and Bergman Projections on non-smooth planar domains, Jour. of Geometric Analysis, Vol. 14, (2004), (with R. Shakarchi), Princeton Lectures in Analysis III Real Analysis: Measure theory, integration, and Hilbert spaces, Princeton University Press, (2005), ISBN

14 Elias M. Stein (with L. Lanzani), A note on the div curl inequalities, Math. Research Letters, 12, (2005), (with A. Nagel), The b -complex on decoupled boundaries in C n, Annals of Math., 164, (2006), (with P. Gressman), Regularity of the Fourier transform on spaces of homogeneous distributions, Jour. d Analyse Math., vol. C, (2006), (with A. Gulisashvili), Asymptotic behavior of the distribution of the stock price in models with stochastic volality: The Hull-White model, Comptes Rendus Acad. Science Paris, 343, (2006), (with A. Magyar and S. Wainger), Maximal Operators Associated to Discrete Subgroups of Nilpotent Lie Groups, Journal D Analyse Math., vol. 101, (2007), (with A. Ionescu, A. Magyar, and S. Wainger), Discrete Radon transforms and applications to ergodic theory, Acta Math., Vol.198, (2007), (with C. Fefferman), Comments on papers of A.P. Calderón, in Selected Papers of A.P. Calderón, , American Math. Society, Providence, (2008) (with A. Gulisashvili), Implied volatility in the Hull-White model,, Mathematical Finance. Vol. 9, (2009), (with A. Gulisashvili), Asymptotic behavior of distribution densities in models with stochastic volativity, I, Mathematical Finance, Vol. 20, No. 3 (2010), (with A. Gulisashvilli), Asymptotic behavior of the Stock Price Distribution Density and Implied Volatility in Stochastic Volatility Models, Applied Mathematics and Optimization, Vol. 61 (2010), (with B. Street), Multi-parameter singular Radon transforms, Math. Res. Lett. 18 (2011), (with R. Shakarchi), Princeton Lectures in Analysis IV, Function Analysis: Introduction to Further Topics in Analysis, Princeton University Press, 2011, ISBN (with A. Nagel, F. Ricci and S. Wainger) Singular Integrals with Flag Kernels on Homogeneous Groups: I, Revista Mat. Iber. 28 (2012), (with B. Street) Multi-parameter singular Radon transforms II: the L p theory, arxiv: (To appear in Advances in Math.)

15 Elias M. Stein (with B. Street), Multi-parameter signular Radon transforms III: real analytic surfaces, Adv. Math. 229 (2012), (with L. Lanzani), The Bergman projection in L p for domains with minimal smoothness, Illinois J. Math. 56 (2013), (with L. Lanzani), Cauchy-type integrals in several complex variables, Bulletin Math. Sciences, 3 (2013), (with Polam Yung), Pseudodifferential operators of mixed type adapted to distributions of k-planes. Math. Res. Letters, 20 (2013), (with L. Lanzani), The Cauchy integral in C n for domains with minimal smoothness, Advances in Math. 264 (2014), (with L. Lanzani), The Cauchy-Szegö projection for domains in C n with minimal smoothness, arxiv: , Duke Math. J., 166 (2017), (with L. Lanzani), Hardy spaces of holomorphic functions for domains in C n with minimal smoothness, arxiv: (with A. Nagel, F. Ricci, S. Wainger), Algebras of singular integral operators with kernels controlled by mixed norms, arxiv: (with M. Mirek and B. Trojan), L p (Z d ) estimates for discrete operators of Radon type: Maximal functions and vector-valued estimates, arxiv: , Invent. Math. 209 (2017), (with M. Mirek and B. Trojan), L p (Z d ) estimates for discrete operators of Radon type: Variational estimates, arxiv: (with L. Lanzani), The Cauchy-Leray integral: counter-examples to the L p -theory, to appear in Indiana U. Math. J (with L. Lanzani), The role of an integration identity in the analysis of the Cauchy- Leray transform, Science China Mathematics, 60 (2017), (with J. Bourgain, M. Mirek, and B. Wrobel), On dimension-free variational estimates for averaging operators in R d, arxiv: , to appear in GAFA (with J. Bourgain, M. Mirek, and B. Wrobel), Dimension-free estimates for discrete Hardy-Littlewood averaging operators over cubes in Z d, arxiv May 4, 2018:wtc