Boundary extension of mappings with integrally bounded moduli on Finsler manifolds

DOI10.1007/s11785-018-0851-0zbMath1429.30058OpenAlexW2895221729WikidataQ129138793 ScholiaQ129138793MaRDI QIDQ2007946

Yanyan Li

Publication date: 22 November 2019

Published in: Complex Analysis and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11785-018-0851-0

zbMATH Keywords

Finsler manifoldslower \(Q\)-homeomorphismsmappings with integrally controlled modulimoduli of families of surfaces and curves

Mathematics Subject Classification ID

Quasiconformal mappings in (mathbb{R}^n), other generalizations (30C65) Riemannian, Finsler and other geometric structures on infinite-dimensional manifolds (58B20) Global differential geometry of Finsler spaces and generalizations (areal metrics) (53C60) Quasiconformal mappings in metric spaces (30L10)

Related Items (5)

Homeomorphisms between Finsler manifolds satisfying the Rohde condition ⋮ On the radial limits of mappings on Riemannian manifolds ⋮ Finitely bi-Lipschitz homeomorphisms between Finsler manifolds ⋮ Cluster sets theorems on metric measure spaces ⋮ Homeomorphisms of finite metric distortion between Riemannian manifolds

Cites Work

• The boundary behavior of \(Q\)-homeomorphisms on the Finsler spaces
• On local properties of one class of mappings on Riemannian manifolds
• On Finsler geometry of submanifolds
• Boundary behavior of ring \(Q\)-homeomorphisms on Riemannian manifolds
• On mappings in the Orlicz--Sobolev classes on Riemannian manifolds
• Lectures on \(n\)-dimensional quasiconformal mappings
• Moduli in Modern Mapping Theory
• Topological Mappings with Controlled $p$-Moduli
• Extremal Length and Conformal Capacity
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