Mappings with subexponentially integrable distortion: modulus of continuity, and distortion of Hausdorff measure and Minkowski content

zbMath1320.30044MaRDI QIDQ485986

Albert Clop, David A. Herron

Publication date: 14 January 2015

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

Full work available at URL: https://projecteuclid.org/euclid.ijm/1417442558

zbMATH Keywords

Hausdorff dimensionbounded distortionfinite distortionexponentially integrable dilatations

Mathematics Subject Classification ID

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

Related Items (1)

On mappings of finite distortion that are quasiconformal in the unit disk

Cites Work

• Generalized dimension compression under mappings of exponentially integrable distortion
• Generalized Hausdorff dimension distortion in Euclidean spaces under Sobolev mappings
• Mappings of finite distortion: generalized Hausdorff dimension distortion
• Orlicz-Sobolev regularity of mappings with subexponentially integrable distortion
• Mappings of finite distortion: sharp Orlicz-conditions
• Planar Sobolev homeomorphisms and Hausdorff dimension distortion
• Generalized dimension distortion under mappings of sub-exponentially integrable distortion
• Planar maps of sub-exponential distortion
• Generalized dimension distortion under planar Sobolev homeomorphisms
• Mappings of finite distortion: Monotonicity and continuity

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