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.
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页数：27
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