On mappings whose inverses satisfy the Poletsky inequality

DOI10.5186/aasfm.2020.4520zbMath1439.30043OpenAlexW3002098551MaRDI QIDQ5107635

S. A. Skvortsov, Evgeny Aleksandrovich Sevost'yanov

Publication date: 28 April 2020

Published in: Annales Academiae Scientiarum Fennicae Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.5186/aasfm.2020.4520

zbMATH Keywords

quasiconformal mappingsmappings with finite and bounded distortionlocal and boundary behavior

Mathematics Subject Classification ID

Quasiconformal mappings in (mathbb{R}^n), other generalizations (30C65) Potentials and capacities, extremal length and related notions in higher dimensions (31B15)

Related Items (15)

On mappings with the inverse Poletsky inequality in metric spaces ⋮ Local behavior of mappings of metric spaces with branching ⋮ Boundary behaviour of open, light mappings in metric measure spaces ⋮ On compact classes of Beltrami solutions and Dirichlet problem ⋮ On the radial limits of mappings on Riemannian manifolds ⋮ On the inverse Poletsky inequality in metric spaces and prime ends ⋮ On nonhomeomorphic mappings with the inverse Poletsky inequality ⋮ Logarithmic Hölder continuous mappings and Beltrami equation ⋮ On the local behavior of a class of inverse mappings ⋮ On the global behavior of inverse mappings in terms of prime ends ⋮ Isolated singularities of mappings with the inverse Poletsky inequality ⋮ On the local behavior of mappings of metric spaces ⋮ On the local and boundary behaviour of inverse maps on Riemannian manifolds ⋮ On mappings with the inverse Poletsky inequality on Riemannian manifolds ⋮ On equicontinuity of the families of mappings with one normalization condition in terms of prime ends

Cites Work

• On ring solutions of Beltrami equations
• On boundary behavior of mappings with two normalized conditions
• On the convergence of mappings in metric spaces with direct and inverse modulus conditions
• Traces of functions of $L^1_2$ Dirichlet spaces on the Carathéodory boundary
• Equicontinuity of homeomorphisms with unbounded characteristic
• Boundary behavior of ring Q-homeomorphisms in metric spaces
• Open discrete mappings having local ACL ⁿ inverses
• Mappings of finite distortion: Capacity and modulus inequalities
• Quasiextremal distance domains and conformal mappings onto circle domains
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