A New Characterization of Carleson Measures on the Unit Ball of Cn

被引：0

作者：

Liu, Xiaosong ^{[1
]}

Lou, Zengjian ^{[2
]}

Zhao, Ruhan ^{[3
]}

机构：

[1] Jiaying Univ, Dept Math, Meizhou 514015, Peoples R China

[2] Shantou Univ, Dept Math, Shantou 515063, Peoples R China

[3] SUNY Coll Brockport, Dept Math, Brockport, NY 14420 USA

来源：

INTEGRAL EQUATIONS AND OPERATOR THEORY | 2021年 / 93卷 / 05期

基金：

中国博士后科学基金;

关键词：

Hardy space; Carleson measure; Riemann-Stieltjes integral operators; HARDY-SPACES; INTEGRAL OPERATOR; BERGMAN SPACES; AREA OPERATORS; H-P;

D O I：

10.1007/s00020-021-02667-z

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We provide a new characterization for Carleson measures in terms of the L-p (S-n) norms of certain functions in admissible approach regions on the unit ball of C-n. Some of the tools used in the proof for one dimensional case are not available for higher dimensions, such as Calder ' on-Zygmund decomposition. Our approach involves a duality argument and maximal functions of L-p (S-n) functions on the unit ball of C-n. We also show some applications of our main results to Riemann-Stieltjes integral operators.

引用

页数：27

共 24 条

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