The boundary behavior of $\mathcal Q_{p,q}$-homeomorphisms

DOI10.4213/im9376ezbMath1529.30028OpenAlexW4387757281MaRDI QIDQ6085103

Sergei Vodop'yanov, Anastasia Molchanova

Publication date: 2 December 2023

Published in: Izvestiya: Mathematics (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/im9376

zbMATH Keywords

boundary correspondence\(\mathcal{Q}_{p,q}\)-homeomorphisms

Mathematics Subject Classification ID

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

Cites Work

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• Prime ends for domains in metric spaces
• Equicontinuity of mean quasiconformal mappings
• \(ACL\) and differentiability of open discrete ring \((p,Q)\)-mappings
• Boundary correspondence for homeomorphisms with weighted bounded \((p,q)\)-distortion
• On boundary extension of Sobolev classes with critical exponent by prime ends
• Prime ends and quasiconformal mappings
• A p-extremal length and p-capacity equality
• On a boundary correspondence for quasiconformal mappings of threedimensional domains
• Differentiation of integrals in \(\mathbb{R}^n\)
• Sobolev spaces and \((P,Q)\)-quasiconformal mappings of Carnot groups
• The equality between \(p\)-capacity and \(p\)-modulus
• Differentiability of mappings of the Sobolev space \(W_{n-1}^1\) with conditions on the distortion function
• Basics of the quasiconformal analysis of a two-index scale of spatial mappings
• On mappings generating the embeddings of Sobolev spaces
• On the equivalence of two approaches to problems of quasiconformal analysis
• On the analytic and geometric properties of mappings in the theory of \(\mathscr{Q}_{q,p}\)-homeomorphisms
• The regularity of inverses to Sobolev mappings and the theory of \(\mathcal{Q}_{q,p} \)-homeomorphisms
• Composition operators on weighted Sobolev spaces and the theory of \(\mathcal{Q}_p\)-homeomorphisms
• Étude d'une classe d'applications liees à des homomorphismes d'algèbres de fonctions, et généralisant les quasi conformes
• Injectivity almost everywhere and mappings with finite distortion in nonlinear elasticity
• Prime ends in metric spaces and quasiconformal-type mappings
• The Dirichlet problem for \(p\)-harmonic functions with respect to the Mazurkiewicz boundary, and new capacities
• On local properties of spatial generalized quasi-isometries
• The coefficients of quasiconformality of domains in space
• On the convergence of mappings in metric spaces with direct and inverse modulus conditions
• Über harmonische Kapazität und quasikonforme Abbildungen im Raum
• Quasi-conformal mappings in n-space and the rigidity of hyperbolic space forms
• The concept of capacity in the theory of functions with generalized derivatives
• Lectures on \(n\)-dimensional quasiconformal mappings
• Set functions and their applications in the theory of Lebesgue and Sobolev spaces. I
• Prime ends and Orlicz–Sobolev classes
• Prime ends of a sequence of plane regions converging to a nucleus
• Conformal Invariants and Prime Ends
• On prime ends and local connectivity
• Moduli in Modern Mapping Theory
• Quasiconformal mappings without boundary extensions
• ON GEOMETRIC PROPERTIES OF FUNCTIONS WITH GENERALIZED FIRST DERIVATIVES
• Prime Ends
• Admissible changes of variables for Sobolev functions on (sub-)Riemannian manifolds
• Regularity of mappings inverse to Sobolev mappings
• The theory of shell-based $ Q$-mappings in geometric function theory
• Boundary behaviour of the mappings satisfying generalized inverse modular inequalities
• Boundary behavior and equicontinuity for families of mappings in terms of prime ends
• ACL and differentiability of a generalization of quasi-conformal maps
• Dynamics in One Complex Variable. (AM-160)
• Sobolev Spaces
• Functional and analytic properties of a class of mappings in quasi-conformal analysis
• О модульных неравенствах типа Полецкого для некоторых классов отображений
• Superposition operators in Sobolev spaces
• Coincidence of set functions in quasiconformal analysis

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