On the maximal operators of $T$ means with respect to Walsh-Kaczmarz system
Classical Analysis and ODEs
2021-03-30 v2 Analysis of PDEs
Abstract
In this paper we prove and discuss some new type inequalities of the maximal operators of means with monotone coefficients with respect to Walsh-Kaczmarz system. It is also proved that these results are the best possible in a special sense. As applications, both some well-known and new results are pointed out. In particular, we apply these results to prove a.e. convergence of such means.
Keywords
Cite
@article{arxiv.2007.14455,
title = {On the maximal operators of $T$ means with respect to Walsh-Kaczmarz system},
author = {Nata Gogolashvili and George Tephnadze},
journal= {arXiv preprint arXiv:2007.14455},
year = {2021}
}