Topological mappings of finite area distortion

DOI10.1007/s13324-022-00666-wzbMath1486.30148OpenAlexW4220674680MaRDI QIDQ2119597

Elena S. Afanas'eva, Anatoly Golberg

Publication date: 29 March 2022

Published in: Analysis and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13324-022-00666-w

zbMATH Keywords

Riemannian manifoldsLipschitz homeomorphisms\(Q\)-homeomorphismsmoduli of families of curvesmappings of finite area distortion

Mathematics Subject Classification ID

Quasiconformal mappings in (mathbb{R}^n), other generalizations (30C65) Absolutely continuous real functions of several variables, functions of bounded variation (26B30) Local Riemannian geometry (53B20) Quasiconformal mappings in metric spaces (30L10)

Related Items (5)

Homeomorphisms between Finsler manifolds satisfying the Rohde condition ⋮ On isolated singularities of mappings with finite length distortion ⋮ On the radial limits of mappings on Riemannian manifolds ⋮ Absolute continuity in higher dimensions ⋮ Cluster sets theorems on metric measure spaces

Cites Work

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• Lectures on mappings of finite distortion
• On integral conditions in the mapping theory
• Continuous selections of Lipschitz extensions in metric spaces
• Extremal length and functional completion
• On the theory of mappings with finite area distortion
• Bi-Lipschitz maps in \(Q\)-regular Loewner spaces
• On the problem of regularity in the Sobolev space \(W_{loc}^{1,n}\)
• Quasimöbius maps
• Quasiconformal maps in metric spaces with controlled geometry
• Absolutely continuous functions of several variables
• Lectures on analysis on metric spaces
• A generalization of the univalence on the boundary theorem with applications to Sobolev mappings
• Boundary behavior of ring \(Q\)-homeomorphisms on Riemannian manifolds
• On mappings in the Orlicz--Sobolev classes on Riemannian manifolds
• The N\(^{-1}\)-property of maps and Luzin's condition (N)
• Homeomorphisms of finite metric distortion between Riemannian manifolds
• Finitely bi-Lipschitz homeomorphisms between Finsler manifolds
• A note on the global injectivity of some light Sobolev mappings
• Lectures on \(n\)-dimensional quasiconformal mappings
• Quasisymmetric dimension distortion of Ahlfors regular subsets of a metric space
• On Lipschitz continuity of quasiconformal mappings in space
• The limit mapping of generalized ring homeomorphisms
• Moduli in Modern Mapping Theory
• Thick sets and quasisymmetric maps
• On the notions of absolute continuity for functions of several variables
• Prime ends in theory of mappings with finite distortion in the plane

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