Isomorphisms of Sobolev spaces on Riemannian manifolds and quasiconformal mappings

DOI10.1134/S0037446619050033zbMath1444.46029OpenAlexW2978813232WikidataQ115248377 ScholiaQ115248377MaRDI QIDQ2282612

Sergei Vodop'yanov

Publication date: 8 January 2020

Published in: Siberian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0037446619050033

zbMATH Keywords

Sobolev spaceRiemannian manifoldquasiconformal mappingcomposition operator

Mathematics Subject Classification ID

Quasiconformal mappings in (mathbb{R}^n), other generalizations (30C65) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Continuity properties of mappings on manifolds (58C07)

Related Items (4)

Functional and analytical properties of a class of mappings of quasiconformal analysis on Carnot groups ⋮ Two-weighted composition operators on Sobolev spaces and quasiconformal analysis ⋮ The regularity of inverses to Sobolev mappings and the theory of \(\mathcal{Q}_{q,p} \)-homeomorphisms ⋮ On the equivalence of two approaches to problems of quasiconformal analysis

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