Normal families of mappings on Carnot groups

DOI10.1007/BF02104868zbMath0876.30021OpenAlexW2023345050MaRDI QIDQ1358061

N. A. Kudryavtseva, Sergei Vodop'yanov

Publication date: 18 June 1997

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

Full work available at URL: https://doi.org/10.1007/bf02104868

Mathematics Subject Classification ID

Quasiconformal mappings in (mathbb{R}^n), other generalizations (30C65) General properties and structure of real Lie groups (22E15)

Related Items

Normal families of functions for subelliptic operators and the theorems of Montel and Koebe ⋮ Harmonic functions on metric measure spaces: Convergence and compactness

Cites Work

• Sub-Riemannian geometry
• Carnot-Carathéodory metrics and quasiisometries of symmetric spaces of rank 1
• Approximately differentiable transformations and change of variables on nilpotent groups
• Foundations for the theory of quasiconformal mappings on the Heisenberg group
• The Poincaré inequality for vector fields satisfying Hörmander's condition
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