Envelopes of open sets and extending holomorphic functions on dual Banach spaces
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1 Domingo García, Ondřej Kalenda, Manuel Maestre Envelopes of open sets and extending holomorphic functions on dual Banach spaces Preprint No. MATH-KMA-2009/306 May 2009 Submitted Department of Mathematical Analysis, Faculty of Mathematics and Physics, Charles University, Sokolovská 83, Praha 8, Czech Republic
2 Cover print by Reprostředisko, Malostranské nám. 25, Praha 1 - Malá Strana Design by Mirko Rokyta, picture of snowflake by Ondřej Kalenda Current series administrator: Mirko Rokyta
3 List of preprints released in this series All preprints available on contact to series administrator:
4 For the details on the 255 papers submitted in years see the web page of the preprint series [MATH-KMA 2008/256] Miroslav Bulíček, Dalibor Pražák: A note on the dimension of the global attractor for abstract semilinear hyperbolic problem. [MATH-KMA 2008/257] Eva Fašangová, Pedro J. Miana: Hilbert, Dirichlet and Fejér families of operators arising from C 0 -groups and cosine [MATH-KMA 2008/258] Josef Daněček, Oldřich John, Jana Stará: On the Hölder continuity of gradient of solutions to a class of elliptic systems. [MATH-KMA 2008/259] Jakub Duda, Luděk Zajíček: Semiconvex functions: representations as suprema of smooth functions and extensions. [MATH-KMA 2008/260] Jakub Duda, Luděk Zajíček: Curves in Banach spaces which allow a C 2 parametrization. [MATH-KMA 2008/261] Václav Vlasák, Miroslav Zelený: Compact sets of continuity for Borel [MATH-KMA 2008/262] Ondřej Kalenda, Jiří Spurný: Boundaries of compact convex sets and fragmentability. [MATH-KMA 2008/263] Ondřej Kurka, Dušan Pokorný: Porosity and the Darboux property of Fréchet derivatives. [MATH-KMA 2008/264] Miroslav Kačena, Jiří Spurný: Affine images of compact convex sets and maximal measures. [MATH-KMA 2008/265] Miroslav Kačena: Products and projective limits of function spaces. [MATH-KMA 2008/266] Miroslav Bačák: Minimal measures and nonsimplicial function cones. [MATH-KMA 2008/267] Miroslav Bačák, Petr Hájek: Mazur intersection property for Asplund spaces. [MATH-KMA 2008/268] Stanislav Hencl: On the weak differentiability of u f 1. [MATH-KMA 2008/269] Amiran Gogatishvili, Luboš Pick, Jan Schneider: The rearrangement-invariant hull of a Besov space. [MATH-KMA 2008/270] Ron Kerman, Luboš Pick: Explicit formulas for optimal rearrangementinvariant norms in Sobolev imbedding inequalities. [MATH-KMA 2008/271] Petr Holický: Decompositions of Borel bimeasurable mappings between complete metric spaces. [MATH-KMA 2008/272] Luboš Pick: Optimality of function spaces in Sobolev embeddings. [MATH-KMA 2008/273] Jiří Spurný: Borel sets and functions in topological spaces. [MATH-KMA 2008/274] Miroslav Kačena, Jiří Spurný: Affine Baire functions on Choquet simplices. [MATH-KMA 2008/275] Jiří Jelínek, Dalibor Pražák: On the sign of Colombeau functions and applications to conservation laws. [MATH-KMA 2008/276] Warren B. Moors, Jiří Spurný: On the topology of pointwise convergence on the boundaries of L 1 -predual. [MATH-KMA 2008/277] Hugo Beirão da Veiga, Petr Kaplický, Michael Růžička: Boundary regularity of shear thickening flows. [MATH-KMA 2008/278] Petr Hájek, Gilles Lancien, Antonín Procházka: Weak dentability index of spaces C([0,α]). [MATH-KMA 2008/279] Robert Deville, Antonín Procházka: Parametric variational principle and residuality. [MATH-KMA 2008/280] Michal Kraus: A note on the uniform approximation of continuous affine [MATH-KMA 2008/281] Tomáš Bárta: Smooth solutions of Volterra equations via semigroups. [MATH-KMA 2008/282] Tomáš Bárta: Delayed quasilinear evolution equations with BV coefficients. [MATH-KMA 2008/283] Libor Veselý, Luděk Zajíček: On extensions of d.c. functions and convex [MATH-KMA 2008/284] Ondřej Kalenda, Wies law Kubiś: The structure of Valdivia compact lines. [MATH-KMA 2008/285] Petr Holický: Borel classes of uniformizations of sets with large sections. [MATH-KMA 2008/286] Salvatore Leonardi, Jana Stará: Regularity results for the gradient of solutions of linear elliptic systems with V MO coefficients and L 1,λ data. [MATH-KMA 2008/287] Andrea Cianchi, Luboš Pick: Optimal Gaussian Sobolev embeddings.
5 [MATH-KMA 2008/288] Andrea Cianchi, Luboš Pick: An optimal endpoint trace embedding. [MATH-KMA 2008/289] Robert Černý, Stanislav Hencl, Jan Kolář: Integral functionals that are continuous with respect to the weak topology on W 1,p 0 (Ω). [MATH-KMA 2008/290] Jaroslav Lukeš, Luboš Pick, Dušan Pokorný: On geometric properties of the spaces L p(x). [MATH-KMA 2008/291] Miroslav Hušek, Antonio Pulgarín: Lattice-ordered groups of real continuous 2009 [MATH-KMA 2009/292] Petr Hájek, Antonín Procházka: C k -smooth approximations of LUR norms. [MATH-KMA 2009/293] Martin Koc: Upper porous sets in metric spaces which are not σ-lower porous. [MATH-KMA 2009/294] Robert Černý, Silvie Mašková: On generalization of Mosers theorem in the critical case. [MATH-KMA 2009/295] Piotr Hajlasz, Jan Malý: On approximate differentiability of the maximal function. [MATH-KMA 2009/296] Robert Černý, Silvie Mašková: A sharp form of an embedding into multiple exponential spaces. [MATH-KMA 2009/297] W. Desch, E. Fašangová, J. Milota, G. Propst: Spectrum of a viscoelastic boundary damping problem. [MATH-KMA 2009/298] W. Desch, E. Fašangová, J. Milota, G. Propst: Stabilization through viscoelastic boundary damping. [MATH-KMA 2009/299] Jan Rataj, Luděk Zajíček: Properties of distance functions on convex surfaces. [MATH-KMA 2009/300] Stanislav Hencl: Sharpness of the assumptions for the regularity of a homeomorphism. [MATH-KMA 2009/301] Robert Černý: Integral functionals that are lower semicontinuous with respect to the weak topology on W 1,p (Ω). [MATH-KMA 2009/302] Jakub Duda, Luděk Zajíček: On vector-valued curves that allow a C 1,α parametrization. [MATH-KMA 2009/303] Jiří Spurný: Weights of boundaries of compact convex sets. [MATH-KMA 2009/304] David A. Edwards, Ondřej Kalenda, Jiří Spurný: A note on intersections of simplices. [MATH-KMA 2009/305] Martin Koc: On relations among metric derived numbers. [MATH-KMA 2009/306] Domingo García, Ondřej Kalenda, Manuel Maestre: Envelopes of open sets and extending holomorphic functions on dual Banach spaces.
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