Isomorphisms of Sobolev spaces on Carnot groups and quasi-isometric mappings

DOI10.1134/S0037446614050048zbMath1322.46025OpenAlexW2056175117MaRDI QIDQ486363

Nikita Evseev, Sergei Vodop'yanov

Publication date: 15 January 2015

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

Full work available at URL: https://doi.org/10.1134/s0037446614050048

zbMATH Keywords

Sobolev spacequasi-isometryCarnot groupsuperposition 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)

Related Items

Functional and analytical properties of a class of mappings of quasiconformal analysis on Carnot groups ⋮ The length and area principle for a function on an abstract surface over a domain of a Carnot group ⋮ On admissible changes of variables for Sobolev functions on (sub)Riemannian manifolds ⋮ Equality of the capacity and module of a condenser on a sub-Finsler space ⋮ Metric space mappings connected with Sobolev-type function classes ⋮ Two-weighted composition operators on Sobolev spaces and quasiconformal analysis ⋮ Isomorphisms of Sobolev spaces on Carnot groups and metric properties of mappings ⋮ On quasiconformal maps and semilinear equations in the plane ⋮ 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 Carnot groups and quasi-isometric mappings ⋮ Isomorphisms of Sobolev spaces on Riemannian manifolds and quasiconformal mappings ⋮ Isomorphisms of Sobolev spaces on Carnot groups and quasiconformal mappings ⋮ Composition operators in weighted Sobolev spaces on the Carnot group

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