Prime ends and Orlicz–Sobolev classes

DOI10.1090/spmj/1416zbMath1352.30023OpenAlexW2494566299MaRDI QIDQ2817034

D. A. Kovtonyuk, Vladimir I. Ryazanov

Publication date: 29 August 2016

Published in: St. Petersburg Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/spmj/1416

zbMATH Keywords

boundary behaviorprime ends\(Q\)-homeomorphismsmappings with finite distortion

Mathematics Subject Classification ID

Quasiconformal mappings in (mathbb{R}^n), other generalizations (30C65)

Related Items (16)

On the lightness of the mappings satisfying generalized inverse modular inequalities ⋮ On boundary extension of Sobolev classes with critical exponent by prime ends ⋮ On global behavior of mappings with integral constraints ⋮ Prime ends in the mapping theory on the Riemann surfaces ⋮ The boundary behavior of $\mathcal Q_{p,q}$-homeomorphisms ⋮ On the boundary extension of mappings on Riemannian surfaces in terms of prime ends ⋮ Boundary behaviour of open discrete mappings on Riemannian manifolds. II ⋮ On prime ends on Riemannian manifolds ⋮ Boundary behavior and equicontinuity for families of mappings in terms of prime ends ⋮ Equicontinuity of families of mappings with one normalization condition ⋮ On the global behavior of inverse mappings in terms of prime ends ⋮ On the equicontinuity of families of mappings in the case of variable domains ⋮ Boundary extensions of mappings satisfying the Poletsky inverse inequality in terms of prime ends ⋮ On equicontinuity of families of mappings between Riemannian surfaces with respect to prime ends ⋮ On equicontinuity of the families of mappings with one normalization condition in terms of prime ends ⋮ On the boundary behavior of mappings with finite distortion in the plane

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