English

Triangular Fej\'er Summability of Two-Dimensional Walsh-Fourier series

Analysis of PDEs 2016-09-07 v1

Abstract

It is proved that the operators σn\sigma_{n}^{\bigtriangleup} of the triangular-Fej{\'e}r-means of a two-dimensional Walsh--Fourier series are uniformly bounded from the dyadic Hardy space HpH_{p} to LpL_{p} for all % 4/5<p\leq \infty .

Keywords

Cite

@article{arxiv.1309.7548,
  title  = {Triangular Fej\'er Summability of Two-Dimensional Walsh-Fourier series},
  author = {György Gát and Ushangi Goginava},
  journal= {arXiv preprint arXiv:1309.7548},
  year   = {2016}
}