Isomorphisms of Sobolev spaces on Carnot groups and quasiconformal mappings

DOI10.1134/S0037446615050031zbMath1348.46045OpenAlexW2236222688MaRDI QIDQ5963435

Nikita Evseev, Sergei Vodop'yanov

Publication date: 19 February 2016

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

Full work available at URL: https://doi.org/10.1134/s0037446615050031

zbMATH Keywords

Sobolev spacequasiconformal mappingcomposition operatorCarnot group

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)

Related Items

Functional and analytical properties of a class of mappings of quasiconformal analysis on Carnot groups ⋮ The composition operators in Sobolev spaces with variable exponent of summability ⋮ 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 ⋮ Admissible changes of variables for Sobolev functions on (sub-)Riemannian manifolds ⋮ Isomorphisms of Sobolev spaces on Riemannian manifolds and quasiconformal mappings

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