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Walsh–Fejér means and weighted Hardy spaces

Year: 2025

Type: article

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.

Source: Annales Universitatis Scientiarum Budapestinensis de Rolando Eötvös Nominatae Sectio computatorica

DOI: 10.71352/ac.58.250525

Author: Ferenc Weisz

Institution: Eötvös Loránd University

Language: English

Topic: Advanced Harmonic Analysis Research

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: bronze

OpenAlex ID: W4410730270

FWCI:

Cites: 17

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Related to: 10