Additive and multiplicative anisotropic estimates for integral norms of differentiable functions on irregular domains

DOI10.1134/S0081543815060243zbMath1348.46035MaRDI QIDQ902073

A. Yu. Golovko

Publication date: 7 January 2016

Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)

zbMATH Keywords

embedding theoremsGagliardo-Nirenberg type multiplicative inequalities

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Inequalities involving derivatives and differential and integral operators (26D10)

Related Items (5)

On some properties of finite sums of ridge functions defined on convex subsets of \(\mathbb{R}^n\) ⋮ Multiplicative estimates for derivatives on irregular domains ⋮ Continuous sums of ridge functions on a convex body and the class VMO ⋮ On some properties of smooth sums of ridge functions ⋮ Density of smooth functions in anisotropic weighted Sobolev spaces with weights that are locally bounded and locally bounded away from zero

Cites Work

• Sobolev embedding theorems for a class of anisotropic irregular domains
• Ulteriori proprieta di alcune classi di funzioni in piu variabili
• Sobolev's embedding theorem for a domain with irregular boundary
• Some inequalities in function spaces and their application to the study of the convergence of variational processes
• Integral estimates for differentiable functions on irregular domains
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