On admissible changes of variables for Sobolev functions on (sub)Riemannian manifolds

DOI10.1134/S1064562416030315zbMath1365.46030OpenAlexW2460234070WikidataQ115247463 ScholiaQ115247463MaRDI QIDQ334432

Sergei Vodop'yanov

Publication date: 1 November 2016

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

Full work available at URL: https://doi.org/10.1134/s1064562416030315

zbMATH Keywords

Sobolev spaceRiemannian manifoldchange of variables

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) Linear composition operators (47B33) Continuity properties of mappings on manifolds (58C07)

Related Items (6)

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 ⋮ Bounded composition operator on Lorentz spaces ⋮ The regularity of inverses to Sobolev mappings and the theory of \(\mathcal{Q}_{q,p} \)-homeomorphisms ⋮ Admissible changes of variables for Sobolev functions on (sub-)Riemannian manifolds ⋮ Isomorphisms of Sobolev spaces on Riemannian manifolds and quasiconformal mappings

Cites Work

• Unnamed Item
• Unnamed Item
• Isomorphisms of Sobolev spaces on Carnot groups and quasi-isometric mappings
• Forme abstraite du théorème de capacitabilité
• Lattice isomorphisms of the spaces \(W^1_n\) and quasiconformal mappings
• Criteria for the removability of sets in spaces of \(L^1_p\) quasiconformal and quasi-isometric mappings
• Geometric measure theory.
• Sobolev-type classes of functions with values in a metric space
• Set functions and their applications in the theory of Lebesgue and Sobolev spaces. I
• Spaces of differential forms and maps with controlled distortion

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