Mappings with bounded distortion and with finite distortion on Carnot groups

DOI10.1007/BF02675667zbMath0973.30021MaRDI QIDQ1975832

Sergei Vodop'yanov

Publication date: 4 May 2000

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

zbMATH Keywords

Carnot groupmapping with bounded distortion

Mathematics Subject Classification ID

Quasiconformal mappings in (mathbb{R}^n), other generalizations (30C65) Analysis on other specific Lie groups (43A80)

Related Items (11)

On value distributions for quasimeromorphic mappings on \(\mathbb H\)-type Carnot groups ⋮ On isolated singularities of mappings with finite length distortion ⋮ Extremal length for quasiregular mappings on Heisenberg groups. ⋮ Topological properties of mappings with finite distortion on Carnot groups ⋮ Mappings with bounded \((P,Q)\)-distortion on Carnot groups ⋮ The Liouville theorem for conformal mappings on Carnot groups with Goursat-Darboux distribution ⋮ Example of a smooth homeomorphism violating the Luzin \(N^{-1}\) property ⋮ Prime ends and Orlicz–Sobolev classes ⋮ Prime ends in theory of mappings with finite distortion in the plane ⋮ Liouville type theorems for mappings with bounded (co)-distortion ⋮ On the boundary behavior of mappings with finite distortion in the plane

Cites Work

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