Mappings with finite distortion in \(L_{\mathrm{loc}}^p\): modulus of continuity and compression of Hausdorff measure

DOI10.1007/s11856-014-0015-5zbMath1302.30025OpenAlexW2149364386MaRDI QIDQ2017161

Albert Clop, David A. Herron

Publication date: 25 June 2014

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11856-014-0015-5

zbMATH Keywords

modulus of continuityHausdorff measurefinite distortion\(p\)-capacityexponentially integrable distortion

Mathematics Subject Classification ID

Quasiconformal mappings in (mathbb{R}^n), other generalizations (30C65) Hausdorff and packing measures (28A78) Other generalizations (nonlinear potential theory, etc.) (31C45)

Related Items (4)

Quasiregular curves: Hölder continuity and higher integrability ⋮ On isolated singularities of mappings with finite length distortion ⋮ Deformations of bi-conformal energy and a new characterization of quasiconformality ⋮ Joint rotational and stretching multifractal spectra of mappings with integrable distortion

Cites Work

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• Mappings of finite distortion: generalized Hausdorff dimension distortion
• Mappings of finite distortion: sharp Orlicz-conditions
• Mappings of finite distortion: formation of cusps. III
• Planar Sobolev homeomorphisms and Hausdorff dimension distortion
• Planar maps of sub-exponential distortion
• Generalized dimension distortion under planar Sobolev homeomorphisms
• Mappings of finite distortion: Monotonicity and continuity
• Mappings of finite distortion: Condition \(N\)

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