Metric properties of Orlicz-Sobolev classes

DOI10.1007/s10958-016-3206-2zbMath1373.46028OpenAlexW2563167415MaRDI QIDQ521112

Ruslan Radikovich Salimov

Publication date: 6 April 2017

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-016-3206-2

zbMATH Keywords

Gehring theoremOrlicz-Sobolev class

Mathematics Subject Classification ID

Quasiconformal mappings in (mathbb{R}^n), other generalizations (30C65) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35)

Related Items (1)

On the lightness of the mappings satisfying generalized inverse modular inequalities

Cites Work

• The Beltrami equation. A geometric approach
• Moduli of families of locally quasisymmetric surfaces
• Geometric measure theory.
• Infinitesimal geometry of quasiconformal and bi-Lipschitz mappings in the plane
• Lectures on \(n\)-dimensional quasiconformal mappings
• On Lipschitz continuity of quasiconformal mappings in space
• Toward the theory of Orlicz–Sobolev classes
• Open discrete mappings having local ACL ⁿ inverses
• Moduli in Modern Mapping Theory
• Rings and Quasiconformal Mappings in Space
• On Mappings with Integrable Dilatation
• Superposition operators in Sobolev spaces
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