Hausdorff dimension distribution of quasiconformal mappings on the Heisenberg group

DOI10.1007/BF02790265zbMath0983.30007MaRDI QIDQ5941781

Zoltán M. Balogh

Publication date: 16 April 2002

Published in: Journal d'Analyse Mathématique (Search for Journal in Brave)

zbMATH Keywords

Heisenberg groupHausdorff dimensionquasiconformal mappings

Mathematics Subject Classification ID

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

Related Items (16)

Prime ends in the Heisenberg group $\mathbb{H}_{1}$ and the boundary behavior of quasiconformal mappings ⋮ Quasiconformal dimensions of selfsimilar fractals ⋮ Toward the theory of Orlicz–Sobolev classes ⋮ Rigidity of quasiconformal maps on Carnot groups ⋮ Large scale geometry of negatively curved \(\mathbb{R}^n\rtimes\mathbb{R}\) ⋮ Arcwise connected domains, quasiconformal mappings, and quasidisks ⋮ The modulus of the Korányi ellipsoidal ring ⋮ A global inverse map theorem and biLipschitz maps in the Heisenberg group ⋮ Uniformly quasiregular maps on the compactified Heisenberg group ⋮ Metric and geometric quasiconformality in Ahlfors regular Loewner spaces ⋮ Two geometric characteristic of quasicircles ⋮ Quasiisometries of negatively curved homogeneous manifolds associated with Heisenberg groups ⋮ Global conformal Assouad dimension in the Heisenberg group ⋮ A koebe distortion theorem for quasiconformal mappings in the Heisenberg group ⋮ Quasi-conformal maps on model filiform groups ⋮ On convergence analysis of space homeomorphisms

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