The Bochner-Riesz means for Fourier-Bessel expansions: Norm inequalities for the maximal operator and almost everywhere convergence

被引：3

作者：

Ciaurri, Oscar ^{[1
]}

Roncal, Luz ^{[1
]}

机构：

[1] Univ La Rioja, Dept Matemat & Comp, Logrono 26004, Spain

来源：

JOURNAL OF APPROXIMATION THEORY | 2013年 / 167卷

关键词：

Fourier-Bessel expansions; Bochner-Riesz means; Almost everywhere convergence; Maximal operators; Weighted inequalities; SERIES; DIVERGENCE; CESARO;

D O I：

10.1016/j.jat.2012.11.012

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we develop a thorough analysis of the boundedness properties of the maximal operator for the Bochner-Riesz means related to the Fourier-Bessel expansions. For this operator, we study weighted and unweighted inequalities in the spaces L-P ((0, 1), x(2v+1) dx). Moreover, weak and restricted weak type inequalities are obtained for the critical values of p. As a consequence, we deduce the almost everywhere pointwise convergence of these means. (C) 2012 Elsevier Inc. All rights reserved.

引用

页码：121 / 146

页数：26