Walsh–Fejér means and weighted Hardy spaces

In this paper we consider the Ap weights and weighted dyadic Hardy spaces. We investigate the convergence of Fejér means of Walsh– Fourier series. We prove that, under some conditions, the maximal operator of the Fejér means is bounded from the weighted dyadic Hardy space Hp(w) to Lp(w). This implies almost everywhere convergence of the Fejér means.

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Publication Details

Journal
Annales Universitatis Scientiarum Budapestinensis de Rolando Eötvös Nominatae Sectio computatorica
Published
2025-01-01
DOI
https://doi.org/10.71352/ac.58.250525
Primary Topic
Advanced Harmonic Analysis Research
Type
article
Field-Weighted Citation Impact
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article

Walsh–Fejér means and weighted Hardy spaces

Ferenc Weisz
Annales Universitatis Scientiarum Budapestinensis de Rolando Eötvös Nominatae Sectio computatorica
Advanced Harmonic Analysis Research
article

Walsh–Fejér means and weighted Hardy spaces

Ferenc Weisz
article en

Abstract

In this paper we consider the Ap weights and weighted dyadic Hardy spaces. We investigate the convergence of Fejér means of Walsh– Fourier series. We prove that, under some conditions, the maximal operator of the Fejér means is bounded from the weighted dyadic Hardy space Hp(w) to Lp(w). This implies almost everywhere convergence of the Fejér means.

Annales Universitatis Scientiarum Budapestinensis de Rolando Eötvös Nominatae Sectio computatoricaVol. 58
Openalex Percentile: Top 83%
Advanced Harmonic Analysis Research
DOIOpen Access PDFOpenAlex
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Walsh–Fejér means and weighted Hardy spaces — Ferenc Weisz · Annales Universitatis Scientiarum Budapestinensis de Rolando Eötvös Nominatae Sectio computatorica (2025) | TGRS Research Map | TGRS