Sobolev inequalities: Symmetrization and self-improvement via truncation

Joaquim Martin, Mario Milman, Evgeniy Pustylnik

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We develop a new method to obtain symmetrization inequalities of Sobolev type. Our approach leads to new inequalities and considerable simplification in the theory of embeddings of Sobolev spaces based on rearrangement invariant spaces. © 2007 Elsevier Inc. All rights reserved.
Original languageEnglish
Pages (from-to)677-695
JournalJournal of Functional Analysis
Publication statusPublished - 15 Nov 2007


  • Inequalities
  • Self-improving
  • Sobolev
  • Symmetrization
  • Truncation


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