Sobolev inequalities with symmetry

Yonggeun Cho, Tohru Ozawa

Research output: Contribution to journalArticlepeer-review

62 Citations (Scopus)

Abstract

In this paper, we derive some Sobolev inequalities for radially symmetric functions in s with 1/2 < s < n/2. We show the end point case s = 1/2 on the homogeneous Besov space B2,11/2. These results are extensions of the well-known Strauss' inequality [13]. Also non-radial extensions are given, which show that compact embeddings are possible in some Lp spaces if a suitable angular regularity is imposed.

Original languageEnglish
Pages (from-to)355-365
Number of pages11
JournalCommunications in Contemporary Mathematics
Volume11
Issue number3
DOIs
Publication statusPublished - 2009 Jun 1

Keywords

  • Angular regularity.
  • Function space with radial symmetry
  • Sobolev inequality

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics

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