Dimension distortion by Sobolev mappings in foliated metric spaces

zbMath1285.46029arXiv1301.6013MaRDI QIDQ2851034

Jeremy T. Tyson, Zoltán M. Balogh, Kevin Wildrick

Publication date: 2 October 2013

Full work available at URL: https://arxiv.org/abs/1301.6013

zbMATH Keywords

foliationPoincaré inequalitySobolev mappingAhlfors regularityDavid-Semmes regular mapping

Mathematics Subject Classification ID

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) Sub-Riemannian geometry (53C17) Analysis on metric spaces (30L99)

Related Items (3)

Quasisymmetric dimension distortion of Ahlfors regular subsets of a metric space ⋮ Dimension distortion of images of sets under Sobolev mappings ⋮ Grassmannian frequency of Sobolev dimension distortion

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