Generalized dimension distortion under planar Sobolev homeomorphisms

DOI10.1090/S0002-9939-09-09948-1zbMath1177.30022OpenAlexW2077651500WikidataQ110085258 ScholiaQ110085258MaRDI QIDQ3642669

Aleksandra Zapadinskaya, Pekka Koskela, Thomas Zürcher

Publication date: 6 November 2009

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-09-09948-1

zbMATH Keywords

distortion estimatesSobolev-Orlicz homeomorphisms

Mathematics Subject Classification ID

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

Related Items (7)

Dimension gap under Sobolev mappings ⋮ Mappings with subexponentially integrable distortion: modulus of continuity, and distortion of Hausdorff measure and Minkowski content ⋮ Planar Sobolev homeomorphisms and Hausdorff dimension distortion ⋮ Generalized dimension estimates for images of porous sets under monotone Sobolev mappings ⋮ Mappings with finite distortion in \(L_{\mathrm{loc}}^p\): modulus of continuity and compression of Hausdorff measure ⋮ Mappings of finite distortion: generalized Hausdorff dimension distortion ⋮ Generalized Hausdorff dimension distortion in Euclidean spaces under Sobolev mappings

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