Fejér summability and local Hardy spaces

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Abstract

New Wiener amalgam spaces are introduced for local Hardy spaces. It is proved that the maximal Fejér operator is bounded from the amalgam space W(hp,l) to W(Lp, l). This implies the almost everywhere convergence of the Fejér means for all f ∈ W(L1, l) ⊃ L1.

Original languageEnglish
Pages (from-to)605-615
Number of pages11
JournalActa Scientiarum Mathematicarum
Volume75
Issue number3-4
Publication statusPublished - Dec 1 2009

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Keywords

  • Atomic decomposition
  • Fejér summability
  • Fourier transforms
  • Local Hardy spaces
  • Wiener amalgam spaces

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics

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