Fejér summability and local Hardy spaces

Research output: Contribution to journalArticle

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 - 2009

Fingerprint

Wiener Amalgam Spaces
Amalgam
Mercury amalgams
Almost Everywhere Convergence
Maximal Operator
Summability
Hardy Space
Imply

Keywords

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

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics

Cite this

Fejér summability and local Hardy spaces. / Weisz, F.

In: Acta Scientiarum Mathematicarum, Vol. 75, No. 3-4, 2009, p. 605-615.

Research output: Contribution to journalArticle

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