Strong convergence theorem of Cesàro means with respect to the Walsh system

2015/04/21 by István Blahota, Blahota, István, George Tephnadze +3
Mathematics · #42C10 #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #math.CA #msc:42C10

paper · pdf · doi:10.48550/arxiv.1504.05975

arXiv admin note: substantial text overlap with arXiv:1504.05778

arxiv created 2015/04/21 · arxiv updated 2015/04/24

Abstract

We prove that Cesàro means of one-dimensional Walsh-Fourier series are uniformly bounded operators in the martingale Hardy space H_p for % 0<p<1/( 1+α).

Citations

• On the (C,α) -means with respect to the Walsh system

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