Published: 2025-01-20

Almost everywhere convergence of varying parameter setting Cesàro means of Fourier series with respect to Walsh-Kaczmarz-system

Anteneh Tilahun Adimasu Logo ORCID

Abstract

In this paper, the almost everywhere convergence of Cesàro means of Walsh–Kaczmarz–Fourier series in a varying parameter setting is investigated. In particular, we define subsequence ℕα_n,q of natural numbers and prove that the maximal operator
sup_{n∈ℕα_n,q}|σnα_nf|
is of strong type (H1,L1), where H1 is a Hardy space.

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Adimasu, A. T. (2025). Almost everywhere convergence of varying parameter setting Cesàro means of Fourier series with respect to Walsh-Kaczmarz-system. Annales Mathematicae Silesianae. Retrieved from https://journals.us.edu.pl/index.php/AMSIL/article/view/18449

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2024
Published: 2024-01-18


ISSN: 0860-2107
eISSN: 2391-4238
Ikona DOI 10.1515/amsil

Publisher
University of Silesia Press

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