Almost Everywhere Convergence of Bochner-Riesz Means on Hardy-Sobolev Spaces

被引：1

作者：

Fan, Dashan ^{[1
]}

Zhao, Fayou ^{[2
]}

机构：

[1] Univ Wisconsin, Dept Math Sci, Milwaukee, WI 53201 USA

[2] Shanghai Univ, Dept Math, Shanghai 200444, Peoples R China

来源：

FRONTIERS OF MATHEMATICS | 2023年 / 18卷 / 03期

基金：

中国国家自然科学基金; 上海市自然科学基金;

关键词：

Hardy-Sobolev spaces; Bochner-Riesz means; almost everywhere convergence; maximal functions; MULTIPLIERS;

D O I：

10.1007/s11464-020-0107-y

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We investigate the convergence of Bochner-Riesz means on Hardy-Sobolev spaces. The relation between the smoothness imposed on functions and the rate of almost everywhere convergence of the generalized Bochner-Riesz means is given.

引用

页码：657 / 682

页数：26

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