A note on maximal operators of Vilenkin-Nörlund means

Acta Mathematica Academiae Paedagogicae Nyíregyháziensis

István Blahota¹  Giorgi Tephnadze¹ 

[1] University of Nyíregyháza and Ivane Javakhishvili Tbilisi State University

关键词: inequalities;   

DOI  :  

学科分类：数学（综合）

来源: Academia Paedagogica Nyiregyhaziensis. Acta Mathematica

【 摘 要 】

In this paper we prove and discuss some new $( H_{p},L_{p})$-type inequalities of weighted maximal operators of Vilenkin-Nörlund means with non-increasing coefficients. These results are the best possible in a special sense. As applications, both some well-known and new results are pointed out in the theory of strong convergence of Vilenkin-Nörlund means with non-increasing coefficients.

【 授权许可】

Unknown