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Anisotropic Ornstein noninequalities

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Publication:514638
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DOI10.2140/APDE.2017.10.351zbMath1362.35013arXiv1505.05416OpenAlexW3105524598MaRDI QIDQ514638

Krystian Kazaniecki, Michał Wojciechowski, Dmitriy M. Stolyarov

Publication date: 9 March 2017

Published in: Analysis \& PDE (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1505.05416


zbMATH Keywords

Bellman functionmartingale transformmartingale transformsanisotropic situationhomogeneous rank-one convex functionsOrnstein noninequalities


Mathematics Subject Classification ID

Convexity of real functions of several variables, generalizations (26B25) Special properties of functions of several variables, Hölder conditions, etc. (26B35) Inequalities applied to PDEs involving derivatives, differential and integral operators, or integrals (35A23)


Related Items (6)

Fourier Multipliers of the Homogeneous Sobolev Space Ẇ 1,1 ⋮ Sufficient conditions for the minimality of biconcave functions ⋮ The regularity of minima for the Dirichlet problem on BD ⋮ Sobolev regularity for convex functionals on BD ⋮ Existence of minimisers of variational problems posed in spaces of mixed smoothness ⋮ On limiting trace inequalities for vectorial differential operators







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