Absolute continuity of quasiconformal mappings on curves

DOI10.1007/s00039-007-0607-xzbMath1134.30014OpenAlexW2010527438WikidataQ110038529 ScholiaQ110038529MaRDI QIDQ2458412

Sari Rogovin, Zoltán M. Balogh, Pekka Koskela

Publication date: 31 October 2007

Published in: Geometric and Functional Analysis. GAFA (Search for Journal in Brave)

Full work available at URL: https://boris.unibe.ch/26549/1/39_2007_Article_607.pdf

zbMATH Keywords

Poincaré inequalityquasiconformal mappingsabsolute continuitymetric-measure spacesquasisymmetric mappings

Mathematics Subject Classification ID

Quasiconformal mappings in (mathbb{R}^n), other generalizations (30C65) Absolutely continuous real functions of several variables, functions of bounded variation (26B30)

Related Items (16)

Nonsmooth calculus ⋮ Quasiregular mappings to generalized manifolds ⋮ Boundary behaviour of open, light mappings in metric measure spaces ⋮ Rigidity of quasiconformal maps on Carnot groups ⋮ Absolutely continuous mappings on doubling metric measure spaces ⋮ Absolute continuity in higher dimensions ⋮ Geometric and analytic quasiconformality in metric measure spaces ⋮ Regularity of the inverse of a homeomorphism with finite inner distortion ⋮ Absolute continuity on paths of spatial open discrete mappings ⋮ Uniformization of two-dimensional metric surfaces ⋮ Conformality and \(Q\)-harmonicity in sub-Riemannian manifolds ⋮ Quasiconformality, homeomorphisms between metric measure spaces preserving quasiminimizers, and uniform density property ⋮ Dilatation, pointwise Lipschitz constants, and condition \(N\) on curves ⋮ Quasiisometries of negatively curved homogeneous manifolds associated with Heisenberg groups ⋮ Quasi-conformal maps on model filiform groups ⋮ Uniqueness of minimisers for a Grötzsch-Belinskiĭ type inequality in the Heisenberg group

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