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

2021/01/20 by G. Tutberidze, Tutberidze, G.
Mathematics · #Advanced Harmonic Analysis Research #Classical Analysis and ODEs (math.CA) #Differential Equations and Boundary Problems #FOS: Mathematics #Spectral Theory in Mathematical Physics

paper · pdf · doi:10.48550/arxiv.2101.09196

openalex publication_date 2021/01/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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

Citations

• Maximal operators of T means with respect to the Vilenkin system

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