Approximation by Walsh-Kaczmarz-Fejér means on the Hardy space

2014/10/05 by George Tephnadze, Tephnadze, George
Mathematics · #42C10 #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Functional Analysis (math.FA) #math.CA #math.FA #msc:42C10

paper · pdf · doi:10.48550/arxiv.1410.7977

(to appear), Acta Mathematica Scientia, (2014). arXiv admin note: substantial text overlap with arXiv:1410.6721, arXiv:1410.7976

arxiv created 2014/10/05 · arxiv updated 2014/10/30

Abstract

The main aim of this paper is to find necessary and sufficient conditions for the convergence of Walsh-Kaczmarz-Fejér means in the terms of the modulus of continuity on the Hardy spaces H_p, when 0<p≤ 1/2.

Citations

• On the maximal operators of Walsh-Kaczmarz-Fejér means
• On the maximal operators of Walsh-Kaczmarz-Nörlund means

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