The morphism property for mappings with bounded distortion on the Heisenberg group

DOI10.1007/BF02675669zbMath0949.30017OpenAlexW2086545600MaRDI QIDQ1577164

Nurlan S. Dairbekov

Publication date: 30 August 2000

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

Full work available at URL: https://doi.org/10.1007/bf02675669

zbMATH Keywords

averaging operatorCarnot groupssubelliptic equation

Mathematics Subject Classification ID

Quasiconformal mappings in (mathbb{R}^n), other generalizations (30C65)

Related Items

Quasiregular mappings on sub-Riemannian manifolds ⋮ Conformality and \(Q\)-harmonicity in Carnot groups ⋮ Усреднения компактных отображений группы Энгеля ⋮ Mappings with bounded distortion and with finite distortion on Carnot groups ⋮ The morphism property of subelliptic equations on the roto-translation group

Cites Work

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• Quasiregular maps on Carnot groups
• Foundations for the theory of quasiconformal mappings on the Heisenberg group
• Sobolev spaces on an arbitrary metric space
• Regularity of quasi-linear equations in the Heisenberg group
• Hardy Spaces on Homogeneous Groups. (MN-28), Volume 28
• Strong Rigidity of Locally Symmetric Spaces. (AM-78)