Wavelet characterization of Sobolev spaces with variable exponent

Mitsuo Izuki

Research output: Contribution to journalArticle

2 Citations (Scopus)


Our aim is to get characterizations and unconditional bases of variable Sobolev spaces L p(·); s(ℝ n) in terms of wavelets. As an application, we obtain the sampling theorem in L p(·); s(ℝ n).

Original languageEnglish
Pages (from-to)37-49
Number of pages13
JournalJournal of Applied Analysis
Issue number1
Publication statusPublished - Jun 2011
Externally publishedYes



  • Sampling theorem
  • Sobolev space with variable exponent
  • Unconditional basis
  • Wavelet
  • Weighted sobolev space

ASJC Scopus subject areas

  • Applied Mathematics
  • Mathematical Physics
  • Statistics, Probability and Uncertainty
  • Computational Theory and Mathematics

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