On boundary extension of one class of mappings in terms of prime ends

DOI10.30970/ms.53.1.29-40zbMath1436.30017OpenAlexW3041959028MaRDI QIDQ1988451

S. A. Skvortsov, I. A. Sverchevska, Evgeny Aleksandrovich Sevost'yanov

Publication date: 23 April 2020

Published in: Matematychni Studiï (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.30970/ms.53.1.29-40

zbMATH Keywords

metric spacesquasiconformal mappingsequicontinuitymappings with bounded and finite distortionmoduli of families of paths

Mathematics Subject Classification ID

Quasiconformal mappings in (mathbb{R}^n), other generalizations (30C65) Quasiconformal mappings in metric spaces (30L10)

Related Items (1)

On the inverse Poletsky inequality in metric spaces and prime ends

Cites Work

• On the theory of prime ends for space mappings
• Prime ends for domains in metric spaces
• Nonlinear potential theory on metric spaces
• Extremal length and functional completion
• The Beltrami equations and prime ends
• Differentiability of Lipschitz functions on metric measure spaces
• On the boundary behavior of one class of mappings in metric spaces
• Prime ends in metric spaces and quasiconformal-type mappings
• Moduli in Modern Mapping Theory
• On boundary extension of mappings in metric spaces in the terms of prime ends
• On Sokhotski–Casorati–Weierstrass theorem on metric spaces
• Local and boundary behavior of maps in metric spaces
• Uniform Equicontinuity of Quasiconformal Mappings
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