On boundary extension of Sobolev classes with critical exponent by prime ends

DOI10.1134/S1995080220110025zbMath1456.30044OpenAlexW3114124730MaRDI QIDQ828152

Evgeny Aleksandrovich Sevost'yanov, Elena S. Afanas'eva, Ruslan Radikovich Salimov, Vladimir I. Ryazanov

Publication date: 8 January 2021

Published in: Lobachevskii Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1995080220110025

zbMATH Keywords

boundary behaviorcluster setsprime endsmappings with finite and bounded distortionSobolev classes

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 (2)

The boundary behavior of $\mathcal Q_{p,q}$-homeomorphisms ⋮ On equicontinuity of the families of mappings with one normalization condition in terms of prime ends

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