Frequency of Sobolev and quasiconformal dimension distortion

DOI10.1016/j.matpur.2012.06.005zbMath1266.28003OpenAlexW2100889199MaRDI QIDQ1935821

Jeremy T. Tyson, Roberto Monti, Zoltán M. Balogh

Publication date: 19 February 2013

Published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.matpur.2012.06.005

zbMATH Keywords

potential theoryHausdorff dimensionSobolev mappingquasiconformal mappingspace-filling mapping

Mathematics Subject Classification ID

Quasiconformal mappings in (mathbb{R}^n), other generalizations (30C65) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Spaces of vector- and operator-valued functions (46E40) Hausdorff and packing measures (28A78) Potentials and capacities, extremal length and related notions in higher dimensions (31B15) Analysis on metric spaces (30L99)

Related Items (13)

Quasisymmetric dimension distortion of Ahlfors regular subsets of a metric space ⋮ Dimension distortion of images of sets under Sobolev mappings ⋮ Quasisymmetric graphs and Zygmund functions ⋮ Dehn functions and Hölder extensions in asymptotic cones ⋮ Quasiconformal distortion of the Assouad spectrum and classification of polynomial spirals ⋮ Dimension of images of subspaces under Sobolev mappings ⋮ Dimension distortion by Sobolev mappings in foliated metric spaces ⋮ Rectifiable-Reifenberg and the regularity of stationary and minimizing harmonic maps ⋮ Area minimizing discs in metric spaces ⋮ Grassmannian frequency of Sobolev dimension distortion ⋮ Dimension of images of subspaces under mappings in Triebel‐Lizorkin spaces ⋮ Quasiconformal planes with bi-Lipschitz pieces and extensions of almost affine maps ⋮ Generalized Hausdorff dimension distortion in Euclidean spaces under Sobolev mappings

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