English

Strong convergence of two-dimensional Walsh-Fourier series

Classical Analysis and ODEs 2014-10-28 v1 Functional Analysis

Abstract

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 HpH_{p} to the space LpL_{p} for 0<p<1.0<p<1.

Keywords

Cite

@article{arxiv.1410.7205,
  title  = {Strong convergence of two-dimensional Walsh-Fourier series},
  author = {George Tephnadze},
  journal= {arXiv preprint arXiv:1410.7205},
  year   = {2014}
}

Comments

Walsh system, Strong convergence, martingale Hardy space. arXiv admin note: text overlap with arXiv:1309.7548, arXiv:1310.8212 by other authors