Summability of Gabor expansions and Hardy spaces

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

New Wiener amalgam spaces are introduced for local Hardy spaces. A general summability method, the so-called θ-summability is considered for Gabor series. It is proved that the maximal operator of the θ-means is bounded from hp to Lp and from the amalgam space W(h p,ℓ) to W(Lp, ℓ). This implies the almost everywhere convergence of the θ-means for all f∈W(L1,ℓ).

Original languageEnglish
Pages (from-to)288-306
Number of pages19
JournalApplied and Computational Harmonic Analysis
Volume30
Issue number3
DOIs
Publication statusPublished - May 2011

Fingerprint

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

Keywords

  • θ-Summability
  • Atomic decomposition
  • Gabor expansions
  • Gabor frames
  • Local Hardy spaces
  • Time-frequency analysis
  • Wiener amalgam spaces

ASJC Scopus subject areas

  • Applied Mathematics

Cite this

Summability of Gabor expansions and Hardy spaces. / Weisz, F.

In: Applied and Computational Harmonic Analysis, Vol. 30, No. 3, 05.2011, p. 288-306.

Research output: Contribution to journalArticle

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