Boundary behavior of Orlicz-Sobolev classes

DOI10.1134/S0001434614030237zbMath1325.30025OpenAlexW2021887932MaRDI QIDQ2342007

Vladimir I. Ryazanov, D. A. Kovtonyuk, Evgeny Aleksandrovich Sevost'yanov, Ruslan Radikovich Salimov

Publication date: 8 May 2015

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0001434614030237

zbMATH Keywords

Orlicz-Sobolev spaceOrlicz spacecontinuous extensionhomeomorphic extension(N)-propertyouter dilatationQ-homeomorphism

Mathematics Subject Classification ID

Quasiconformal mappings in (mathbb{R}^n), other generalizations (30C65) Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35)

Related Items (6)

Topological properties of regular boundary domains in Riemannian manifolds ⋮ The lower \(Q\)-homeomorphisms relative to a \(p\)-modulus ⋮ Unnamed Item ⋮ Generalized quasi-isometries on smooth Riemannian manifolds ⋮ On the local properties of solutions of the nonlinear Beltrami equation ⋮ Lower bounds for the volume of the image of a ball

Cites Work

• On integral conditions in the mapping theory
• Quasiextremal distance domains and extension of quasiconformal mappings
• On boundary behavior of generalized quasi-isometries
• Moduli in Modern Mapping Theory
• Rings and Quasiconformal Mappings in Space
• A Note on a Theorem of Gehring and Lehto
• On Mappings with Integrable Dilatation
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