Almost Everywhere Strong Summability of Double Walsh-Fourier Series

Autor:	Gát, G., Goginava, U.
Rok vydání:	2013
Předmět:	Mathematics - Analysis of PDEs Mathematics - Classical Analysis and ODEs 42C10
Druh dokumentu:	Working Paper
Popis:	In this paper we study the a. e. strong convergence of the quadratical partial sums of the two-dimensional Walsh-Fourier series. Namely, we prove the a.e. relation $(\frac{1}{n}\sum\limits_{m=0}^{n-1}\left\vert S_{mm}f - f \right\vert^{p})^{1/p}\rightarrow 0$ for every two-dimensional functions belonging to $L\log L$ and $0
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1310.8212 Zobrazit plný text záznamu View this record from Arxiv