Convergence and Strong Summability of the Two-dimensional Vilenkin-Fourier Series
G. Tephnadze
TL;DR
This paper studies the convergence and strong summability properties of two-dimensional Vilenkin-Fourier series within martingale Hardy spaces, providing insights into their behavior and potential applications.
Contribution
It offers new theoretical results on the convergence and summability of two-dimensional Vilenkin-Fourier series in Hardy spaces, extending existing harmonic analysis frameworks.
Findings
Established conditions for convergence in Hardy spaces.
Proved strong summability results for the series.
Extended analysis to two-dimensional Vilenkin systems.
Abstract
In this paper we investigate convergence and strong summability of the two-dimensional Vilenkin-Fourier series in the martingale Hardy spaces.
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Taxonomy
TopicsAdvanced Harmonic Analysis Research · Approximation Theory and Sequence Spaces · Mathematical Approximation and Integration