On the theory of prime ends for space mappings

DOI10.1007/s11253-015-1098-9zbMath1351.30007OpenAlexW2277541286MaRDI QIDQ325973

D. A. Kovtonyuk, Vladimir I. Ryazanov

Publication date: 12 October 2016

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

Full work available at URL: https://doi.org/10.1007/s11253-015-1098-9

zbMATH Keywords

prime ends\(Q\)-homeomorphisms

Mathematics Subject Classification ID

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

Related Items (10)

On the lightness of the mappings satisfying generalized inverse modular inequalities ⋮ On the equicontinuity of homeomorphisms of Orlicz and Orlicz-Sobolev classes in the closure of a domain ⋮ On compact classes of solutions of Dirichlet problem in simply connected domains ⋮ On the inverse Poletsky inequality in metric spaces and prime ends ⋮ On boundary extension of mappings in metric spaces in the terms of prime ends ⋮ On boundary extension of one class of mappings in terms of prime ends ⋮ On the global behavior of inverse mappings in terms of prime ends ⋮ Boundary extensions of mappings satisfying the Poletsky inverse inequality in terms of prime ends ⋮ On the equicontinuity of one family of inverse mappings in terms of prime ends ⋮ On equicontinuity of the families of mappings with one normalization condition in terms of prime ends

Cites Work

• The Beltrami equation. A geometric approach
• Prime ends and quasiconformal mappings
• Conformal geometry and quasiregular mappings
• The equality between \(p\)-capacity and \(p\)-modulus
• Moduli of families of curves for conformal and quasiconformal mappings
• On boundary behavior of generalized quasi-isometries
• Lectures on \(n\)-dimensional quasiconformal mappings
• On strong solutions of the Beltrami equations
• Moduli in Modern Mapping Theory
• Rings and Quasiconformal Mappings in Space
• On mappings in the Orlicz-Sobolev classes
• Extremal Length and Conformal Capacity
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