Bochner-Riesz Means on Hardy Spaces Associated with Ball Quasi-Banach Function Spaces

被引：3

作者：

Tan, Jian ^{[1
]}

Zhang, Linjing ^{[1
]}

机构：

[1] Nanjing Univ Posts & Telecommun, Sch Sci, Nanjing 210023, Peoples R China

来源：

MEDITERRANEAN JOURNAL OF MATHEMATICS | 2023年 / 20卷 / 05期

基金：

中国国家自然科学基金;

关键词：

Ball quasi-Banach function space; Bochner-Riesz means; maximal Bochner-Riesz means; Hardy space; Morrey space; WEIGHTED NORM INEQUALITIES; VARIABLE EXPONENTS; OPERATORS; BOUNDEDNESS;

D O I：

10.1007/s00009-023-02449-4

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let X be a ball quasi-Banach function space on R-n. In this article, we obtain the boundedness of the Bochner-Riesz means B-1/e(d) and the maximal Bochner-Riesz means B-*(d) on Hardy spaces associated with X. Furthermore, by weakening the assumption that X has an absolutely continuous quasi-norm, the main results in this article can be applied to many concrete spaces such as Morrey spaces. This shows that the results obtained in this article have a wide range of generality.

引用

页数：24

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