English

Strong convergence theorem of Ces\`aro means with respect to the Walsh system

Classical Analysis and ODEs 2015-04-24 v1

Abstract

We prove that Ces\`{a}ro means of one-dimensional Walsh-Fourier series are uniformly bounded operators in the martingale Hardy space HpH_{p} for % 0<p<1/\left( 1+\alpha \right).

Keywords

Cite

@article{arxiv.1504.05975,
  title  = {Strong convergence theorem of Ces\`aro means with respect to the Walsh system},
  author = {István Blahota and George Tephnadze and Rodolfo Toledo},
  journal= {arXiv preprint arXiv:1504.05975},
  year   = {2015}
}

Comments

arXiv admin note: substantial text overlap with arXiv:1504.05778