On equicontinuity of the families of mappings with one normalization condition in terms of prime ends

DOI10.1007/s11253-022-02107-0zbMath1503.30058arXiv2004.04801OpenAlexW4309883398MaRDI QIDQ2107819

N. S. Ilkevych, Evgeny Aleksandrovich Sevost'yanov

Publication date: 5 December 2022

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

Full work available at URL: https://arxiv.org/abs/2004.04801

zbMATH Keywords

mappings of finite distortionmappings of bounded distortion

Mathematics Subject Classification ID

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

Cites Work

• On the theory of prime ends for space mappings
• On boundary extension of Sobolev classes with critical exponent by prime ends
• The Beltrami equations and prime ends
• Prime ends and quasiconformal mappings
• Prime ends in the mapping theory on the Riemann surfaces
• Boundary extensions of mappings satisfying the Poletsky inverse inequality in terms of prime ends
• Mappings with finite length distortion and prime ends on Riemann surfaces
• On the boundary behavior of mappings with finite distortion in the plane
• Prime ends in the Sobolev mapping theory on Riemann surfaces
• On the convergence of mappings in metric spaces with direct and inverse modulus conditions
• Lectures on \(n\)-dimensional quasiconformal mappings
• Prime ends and Orlicz–Sobolev classes
• Boundary behaviour of open discrete mappings on Riemannian manifolds. II
• Moduli in Modern Mapping Theory
• Quasiextremal distance domains and conformal mappings onto circle domains
• On mappings whose inverses satisfy the Poletsky inequality
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