The weak type inequality for the maximal operator of the Marcinkiewicz-Fejer means of the two-dimensional Walsh-Fourier series

JOURNAL OF APPROXIMATION THEORY

卷:154

Article

Goginava, Ushangi

关键词: Walsh function;    Hardy space;    Marcinkiewicz-Fejer means;   

DOI  :  10.1016/j.jat.2008.03.012

来源: Elsevier

【 摘 要 】

The main aim of this paper is to prove that the maximal operator sigma* of the Marcinkiewicz-Fejer means of the two-dimensional Walsh-Fourier series is bounded from the Hardy space H-2/3 to the space weak-L-2/3, (C) 2008 Elsevier Inc. All rights reserved.

【 授权许可】

Free