Planar Sobolev homeomorphisms and Hausdorff dimension distortion

DOI10.1090/S0002-9939-2010-10464-1zbMath1226.30028WikidataQ109998038 ScholiaQ109998038MaRDI QIDQ3003593

Tapio Rajala

Publication date: 27 May 2011

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

zbMATH Keywords

quasiregular mappingsSobolev mappingsLusin condition (N)mappings of finite and bounded distortion

Mathematics Subject Classification ID

Quasiconformal mappings in (mathbb{R}^n), other generalizations (30C65) Quasiconformal mappings in the complex plane (30C62) Sobolev (and similar kinds of) spaces of functions of discrete variables (46E39)

Related Items (5)

Dimension gap under Sobolev mappings ⋮ Mappings with subexponentially integrable distortion: modulus of continuity, and distortion of Hausdorff measure and Minkowski content ⋮ 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 ⋮ Generalized Hausdorff dimension distortion in Euclidean spaces under Sobolev mappings

Cites Work

• Unnamed Item
• Mappings of finite distortion: generalized Hausdorff dimension distortion
• Mappings of finite distortion: gauge dimension of generalized quasicircles
• Generalized dimension distortion under planar Sobolev homeomorphisms
• A study of Jacobians in Hardyd–Orlicz spaces
• Transformations by functions in Sobolev spaces and lower semicontinuity for parametric variational problems
• Hausdorff Dimension and Quasiconformal Mappings
• Mappings of finite distortion: Condition \(N\)

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