On the two-dimensional Marcinkiewicz means with respect to Walsh-Kaczmarz system

JOURNAL OF APPROXIMATION THEORY

卷:142

Article

Nagy, K.

关键词: Marcinkiewicz means;    a.e. convergence;    Walsh group;    Walsh-Kaczmarz system;    two-variable functions;   

DOI  :  10.1016/j.jat.2006.03.013

来源: Elsevier

【 摘 要 】

In this paper we prove that the maximal operator of the Marcinkiewicz means of two-dimensional integrable functions with respect to the Walsh-Kaczmarz system is of weak type (1, 1). Moreover, the Marcinkiewicz means M-n f converge to f almost everywhere, for any integrable function f. (c) 2006 Elsevier Inc. All rights reserved.

【 授权许可】

Free