Maximal operators of T means with respect to the Vilenkin system

2025/09/12 by G. Tutberidze, Tutberidze, G.
Mathematics · #Advanced Harmonic Analysis Research #Approximation Theory and Sequence Spaces #FOS: Mathematics #General Mathematics (math.GM) #Nonlinear Partial Differential Equations

paper · pdf · doi:10.48550/arxiv.2509.19321

openalex created_date 2021/04/26 · openalex publication_date 2025/09/12 · openalex updated_date 2026/07/28

Abstract

In this paper we prove and discuss some new ( H_p,weak-L_p) type inequalities of maximal operators of T means with respect to Vilenkin systems with monotone coefficients. We also apply these results to prove a.e. convergence of such T means. It has also been proven that these results are the best possible in a special sense. As applications, both well-known and new results are highlighted.

Citations

• On the Nörlund means of Vilenkin-Fourier series

Cited by

• Sharp ( H_p,L_p) type inequalities of maximal operators of T means with respect to Vilenkin systems with monotone coefficients

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