New real variable methods in H summability of Fourier series
Classical Analysis and ODEs
2015-10-12 v1
Abstract
In this paper we shall be concerned with summability, for of the Fourier series of arbitrary functions. The methods to be employed here are a refinement of the real variable methods introduced by Marcinkiewicz in \cite{Marcin1}. In addition, we introduce maximal theorems with respect to the Lebesgue measure and weights.
Keywords
Cite
@article{arxiv.1510.02532,
title = {New real variable methods in H summability of Fourier series},
author = {Calixto P. Calderón and A. Susana Coré and Wilfredo Urbina},
journal= {arXiv preprint arXiv:1510.02532},
year = {2015}
}