Modulus method and radial stretch map in the Heisenberg group

DOI10.5186/aasfm.2013.3811zbMath1275.30034OpenAlexW2062456924WikidataQ110007344 ScholiaQ110007344MaRDI QIDQ5327228

Zoltán M. Balogh, Ioannis D. Platis, Katrin S. Fässler

Publication date: 7 August 2013

Published in: Annales Academiae Scientiarum Fennicae Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.5186/aasfm.2013.3811

zbMATH Keywords

Heisenberg groupmodulus of curve familiesextremal quasiconformal mappingslogarithmic coordinates

Mathematics Subject Classification ID

Extremal problems for conformal and quasiconformal mappings, other methods (30C75) Quasiconformal mappings in metric spaces (30L10)

Related Items (12)

Prime ends in the Heisenberg group $\mathbb{H}_{1}$ and the boundary behavior of quasiconformal mappings ⋮ Hardy spaces and quasiconformal maps in the Heisenberg group ⋮ Exceptional families of measures on Carnot groups ⋮ Modulus of surface families and the radial stretch in the Heisenberg group ⋮ The modulus of the Korányi ellipsoidal ring ⋮ Moduli of Legendrian foliations and quadratic differentials in the Heisenberg group ⋮ Geometric construction of quasiconformal mappings in the Heisenberg group ⋮ ON DISTORTION OF THE MODULI OF RINGS UNDER LOCALLY QUASICONFORMAL MAPPINGS IN R^n ⋮ A koebe distortion theorem for quasiconformal mappings in the Heisenberg group ⋮ Modulus of revolution rings in the heisenberg group ⋮ Logarithmic potentials and quasiconformal flows on the Heisenberg group ⋮ Uniqueness of minimisers for a Grötzsch-Belinskiĭ type inequality in the Heisenberg group

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