English

Strong convergence theorem for Walsh-Kaczmarz-Fej\'er means

Classical Analysis and ODEs 2020-08-19 v1 Analysis of PDEs

Abstract

As main result we prove that Fej\'er means of Walsh-Kaczmarz-Fourier series are uniformly bounded operators from the Hardy martingale space  Hp\ H_{p} to the Hardy martingale space HpH_{p} for 0<p1/2. 0<p\leq 1/2.

Keywords

Cite

@article{arxiv.2008.07526,
  title  = {Strong convergence theorem for Walsh-Kaczmarz-Fej\'er means},
  author = {Nata Gogolashvili and Károly Nagy and George Tephnadze},
  journal= {arXiv preprint arXiv:2008.07526},
  year   = {2020}
}