On integral conditions in the mapping theory

DOI10.1007/s10958-011-0257-2zbMath1296.30032arXiv1001.3515OpenAlexW2047115004MaRDI QIDQ392930

Eduard Yakubov, Uri Srebro, Vladimir I. Ryazanov

Publication date: 15 January 2014

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1001.3515

zbMATH Keywords

integral conditionsBeltrami equationsmapping theorySobolev classes

Mathematics Subject Classification ID

Quasiconformal mappings in the complex plane (30C62) Sobolev (and similar kinds of) spaces of functions of discrete variables (46E39)

Related Items (19)

Topological mappings of finite area distortion ⋮ On global behavior of mappings with integral constraints ⋮ Boundary behavior and the Dirichlet problem for Beltrami equations ⋮ Prime ends in the mapping theory on the Riemann surfaces ⋮ On the boundary behavior of mappings in the class \(W^{1,1}_{\mathrm{loc}}\) on Riemann surfaces ⋮ On isolated singularities of mappings with finite length distortion ⋮ On divergence-type linear and quasi-linear equations in the complex plane ⋮ The Beltrami equations and prime ends ⋮ On the Hölder property of mappings in domains and on boundaries ⋮ Mappings with finite length distortion and prime ends on Riemann surfaces ⋮ On the theory of generalized quasi-isometries ⋮ Equicontinuity of mean quasiconformal mappings ⋮ Topological mappings of finite area distortion ⋮ Prime ends and Orlicz–Sobolev classes ⋮ To the theory of mappings of the Sobolev class with the critical index ⋮ On spatial mappings with integral restrictions on the characteristic ⋮ Prime ends in theory of mappings with finite distortion in the plane ⋮ Boundary behavior of Orlicz-Sobolev classes ⋮ On the boundary behavior of mappings with finite distortion in the plane

Cites Work

• On ring solutions of Beltrami equations
• On mean quasiconformal mappings
• \(\mu(z)\)-homeomorphisms in the plane
• On quasiconformal mappings
• On strong solutions of the Beltrami equations
• Moduli in Modern Mapping Theory
• On the Beltrami equations with two characteristics
• On the degenerate Beltrami equation
• The Beltrami equation
• On solutions of the Beltrami equation II
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