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arXiv:1410.7205 [math.CA]AbstractReferencesReviewsResources

Strong convergence of two-dimensional Walsh-Fourier series

George Tephnadze

Published 2014-10-05Version 1

We prove that certain mean of the quadratical partial sums of the two-dimensional Walsh-Fourier series are uniformly bounded operators from the Hardy space $H_{p}$ to the space $L_{p}$ for $0<p<1.$

Comments: Walsh system, Strong convergence, martingale Hardy space. arXiv admin note: text overlap with arXiv:1309.7548, arXiv:1310.8212 by other authors
Journal: Ukrainian Mathematical Journal (UMJ), 65, N6, (2013), 822-834
Categories: math.CA, math.FA
Subjects: 42C10
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