Symmetrization and sharp Sobolev inequalities in metric spaces

zbMath1186.46029arXiv0806.0052MaRDI QIDQ731467

Jan Kališ, Mario Milman

Publication date: 7 October 2009

Published in: Revista Matemática Complutense (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0806.0052

zbMATH Keywords

embeddingmetric spacessymmetrizationSobolev inequalitiesvector fields

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Inequalities for sums, series and integrals (26D15) Inequalities involving derivatives and differential and integral operators (26D10)

Related Items (10)

BMO: Oscillations, Self-Improvement, Gagliardo Coordinate Spaces, and Reverse Hardy Inequalities ⋮ A note on Coulhon type inequalities ⋮ Sobolev embeddings for fractional Hajłasz-Sobolev spaces in the setting of rearrangement invariant spaces ⋮ The modulus of smoothness in metric spaces and related problems ⋮ Sobolev inequalities: symmetrization and self-improvement via truncation ⋮ Gagliardo-Nirenberg inequalities on manifolds ⋮ Weighted Inequalities for Integral and Supremum Operators ⋮ Pointwise symmetrization inequalities for Sobolev functions and applications ⋮ Isoperimetry and symmetrization for logarithmic Sobolev inequalities ⋮ Isoperimetry and symmetrization for Sobolev spaces on metric spaces

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