Symmetrization inequalities in the fractional case and Besov embeddings

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Abstract

We prove new extended forms of the Pólya-Szegö symmetrization principle in the fractional case. As a consequence we determine new results for rearrangement invariant hulls of generalized Besov spaces. © 2008 Elsevier Inc. All rights reserved.
Original languageEnglish
Pages (from-to)99-123
JournalJournal of Mathematical Analysis and Applications
Volume344
Publication statusPublished - 1 Aug 2008

Keywords

  • Besov spaces
  • Rearrangement invariant spaces
  • Sobolev spaces
  • Symmetrization

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