On the maximal operators of Walsh-Kaczmarz-N\"orlund means

George Tephnadze

On the maximal operators of Walsh-Kaczmarz-N\"orlund means

Classical Analysis and ODEs 2014-12-30 v2 Functional Analysis

Authors: George Tephnadze

Abstract

The main aim of this paper is to investigate $\left( H_{p},L_{p,\infty }\right)$ type inequalities for maximal operators of N\"orlund means with monotone coefficients of one-dimensional Walsh-Kaczmarz system. By applying this results we conclude a.e convergence of such Walsh-Kaczmarz-N\"orlund means.

Keywords

walsh-kaczmarz system nörlund means maximal operators monotone coefficients almost everywhere convergence hardy spaces weak lebesgue spaces

Cite

@article{arxiv.1410.7976,
  title  = {On the maximal operators of Walsh-Kaczmarz-N\"orlund means},
  author = {George Tephnadze},
  journal= {arXiv preprint arXiv:1410.7976},
  year   = {2014}
}

Comments

(to appear), Acta Mathematica Academiae Paedagogicae Nyiregyhaziensis (AMAPN), (2014). arXiv admin note: substantial text overlap with arXiv:1410.6721

On the maximal operators of Walsh-Kaczmarz-N\"orlund means

Abstract

Keywords

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