Dimension of images of subspaces under Sobolev mappings

DOI10.1016/J.ANIHPC.2012.01.002zbMath1245.28006OpenAlexW1990772799MaRDI QIDQ432268

Stanislav Hencl, Peter Honzík

Publication date: 4 July 2012

Published in: Annales de l'Institut Henri Poincaré. Analyse Non Linéaire (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.anihpc.2012.01.002

zbMATH Keywords

Hausdorff dimensionSobolev mapping

Mathematics Subject Classification ID

Singular functions, Cantor functions, functions with other special properties (26A30) Hausdorff and packing measures (28A78)

Related Items (5)

Quasisymmetric dimension distortion of Ahlfors regular subsets of a metric space ⋮ Dimension distortion of images of sets under Sobolev mappings ⋮ Dimension distortion by Sobolev mappings in foliated metric spaces ⋮ Grassmannian frequency of Sobolev dimension distortion ⋮ Dimension of images of subspaces under mappings in Triebel‐Lizorkin spaces

Cites Work

• Unnamed Item
• Frequency of Sobolev and quasiconformal dimension distortion
• Change of variables for absolutely continuous functions
• Sobolev spaces, dimension, and random series
• Hausdorff Dimension and Quasiconformal Mappings

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