Remarks on Fréchet differentiability of pointwise Lipschitz, cone-monotone and quasiconvex functions
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1 Luděk Zajíček Remarks on Fréchet differentiability of pointwise Lipschitz, cone-monotone and quasiconvex functions MATH-KMA-2013/423 June 2013 Submitted Department of Mathematical Analysis, Faculty of Mathematics and Physics, Charles University, Sokolovská 83, , Praha 8, Czech Republic
2 Cover print by Reprost edisko, Malostranské nám. 25, Praha 1 - Malá Strana Design by Mirko Rokyta, picture of snowake by Ond ej Kalenda Current series administrators: Stanislav Hencl, Ond ej Kalenda
3 List of preprints released in this series All preprints available on contact to series administrator:
4 For the details on papers submitted in specified years see the web page of the preprint series MATH-KMA-2012/383 Robert Černý and Petr Gurka: Moser-type inequalities for generalized Lorentz-Sobolev spaces MATH-KMA-2012/384 Robert Černý: Sharp constants for Moser-type inequalities concerning embedding into Zygmund spaces MATH-KMA-2012/385 T. Bárta: Global existence for a system of nonlocal PDEs with applications to chemically reacting incompressible fluids MATH-KMA-2012/386 T. Bárta: Nonmonotone nonconvolution functions of positive type and applications MATH-KMA-2012/387 T. Bárta: Global existence for a nonlinear model of 1D chemically reacting viscoelastic body MATH-KMA-2012/388 Václav Vlasák: The size of the classes of H n -sets MATH-KMA-2012/389 Martin Rmoutil: On the nonexistence of a relation between σ-left-porosity and σ-right-porosity MATH-KMA-2012/390 Dalibor Pra«ák, Josef abenský: On the dimension of the attractor for a modified 3d Ladyzhenskaya model MATH-KMA-2012/391 O.Kalenda and J.Spurný: Quantification of the reciprocal Dunford-Pettis property MATH-KMA-2012/392 P. Honzík: Maximal Marcinkiewicz multipliers MATH-KMA-2012/393 F. Cobos, A. Gogatishvili, B. Opic and L. Pick: Interpolation of uniformly absolutely continuous operators MATH-KMA-2012/394 E. Pernecká and L. Pick: Compactness of Hardy operators involving suprema MATH-KMA-2012/395 C.S.Barroso, O.Kalenda and M.P.Reboucas: Optimal approximate fixed point results in locally convex spaces MATH-KMA-2012/396 Martin Franců, Ronald Kerman, Colin Phipps, Ali Sayfy: Finite element approximations to rearrangements MATH-KMA-2012/397 Michal Kraus: Coarse and uniform embeddings between Orlicz sequence spaces MATH-KMA-2012/398 O. Kurka: On the variation of the Hardy-Littlewood maximal function MATH-KMA-2012/399 Gilles Lancien and Eva Pernecká: Approximation properties and Schauder decompositions in Lipschitz-free spaces MATH-KMA-2012/400 L. Veselý and L. Zajíček: On differentiability of convex operators MATH-KMA-2012/401 J. Duda and L. Zajíček: Curves in Banach spaces which allow a C 1,BV parametrization or a parametrization with finite convexity MATH-KMA-2012/402 L. Zajíček: Hadamard differentiability via Gateaux differentiability MATH-KMA-2012/403 David E. Edmunds and Bohumír Opic: A limiting variant of Krasnoselkii compact interpolation theorem MATH-KMA-2012/404 S. Hencl, L. Kleprlík and J. Malý: Composition operator and Sobolev-Lorentz spaces W L n,q MATH-KMA-2012/405 L. Zajíček: Gateaux and Hadamard differentiability via directional differentiability MATH-KMA-2012/406 Robert Černý: Generalized n-laplacian: boundedness of the weak solutions to the Dirichlet problem with the nonlinearity in the critical growth range MATH-KMA-2012/407 Kristýna Kuncová and Jan Malý: Non-absolutely convergent integrals in metric spaces MATH-KMA-2012/408 Luigi Dónofrio, Stanislav Hencl and Roberta Schiattarella: Bi-Sobolev homeomorphism with zero Jacobian almost everywhere MATH-KMA-2012/409 Petr Honzík and Jan Malý: Non-absolutely convergent integrals and singular integrals MATH-KMA-2012/410 Maurizio Grasselli and Dalibor Pra«ák: Regularity results for a Cahn-Hilliard-Navier-Stokes system with shear dependent viscosity
5 2013 MATH-KMA-2013/411 MATH-KMA-2013/412 MATH-KMA-2013/413 MATH-KMA-2013/414 MATH-KMA-2013/415 MATH-KMA-2013/416 MATH-KMA-2013/417 MATH-KMA-2013/418 MATH-KMA-2013/419 MATH-KMA-2013/420 MATH-KMA-2013/421 MATH-KMA-2013/422 MATH-KMA-2013/423 S. Hencl and P. Honzík: Dimension of images of subspaces under mappings in Triebel-Lizorkin spaces Marek Cúth: Noncommutative Valdivia compacta Luděk Zajíček: A Lipschitz function which is C infty on a.e. line need not be generically differentiable M. Křepela: Convolution inequalities in weighted Lorentz spaces O. Kalenda and J. Spurný: On quantitative Schur and Dunford-Pettis properties Robert Černý: Moser-type trace inequalities for generalized Lorentz-Sobolev spaces Marek Cúth and Marián Fabián: Projections in duals to Asplund spaces made without Simons lemma Robert Černý: Bi-Sobolev homeomorphism with zero minors almost everywhere Marek Cúth: Simultaneous projectional skeletons Luděk Kleprlík: Composition operator and necessary condition for W 1 X Jiří Spurný, Miroslav Zelený: Convergence of a typical martingale (A remark on the Doob theorem) Ron Kerman, Colin Phipps and Luboš Pick: Marcinkiewicz interpolation theorems for Orlicz and Lorentz gamma spaces Luděk Zajíček: Remarks on Fréchet differentiability of pointwise Lipschitz, cone-monotone and quasiconvex functions
Concentration-Compactness Principle for Moser-type inequalities in Lorentz-Sobolev spaces
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