Sobolev spaces, dimension, and random series

DOI10.1090/S0002-9939-99-05383-6zbMath0938.28001MaRDI QIDQ4699531

Robert P. Kaufman

Publication date: 17 November 1999

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

energySobolev spacesHausdorff dimensionpacking dimensionrandom series

Mathematics Subject Classification ID

Sums of independent random variables; random walks (60G50) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Random measures (60G57) Hausdorff and packing measures (28A78)

Related Items (12)

Dimension distortion of images of sets under Sobolev mappings ⋮ A bridge between Dubovitskiĭ-Federer theorems and the coarea formula ⋮ Quasiconformal distortion of the Assouad spectrum and classification of polynomial spirals ⋮ Holomorphic motions, dimension, area and quasiconformal mappings ⋮ Dimension of images of subspaces under Sobolev mappings ⋮ Dimension gap under conformal 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 ⋮ Mappings of finite distortion: generalized Hausdorff dimension distortion ⋮ Generalized Hausdorff dimension distortion in Euclidean spaces under Sobolev mappings ⋮ Generalized dimension distortion under planar Sobolev homeomorphisms

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