Embedding weighted Hardy spaces into Lebesgue spaces and generalized area operators

被引：0
|
作者：
Shen, Conghui [1 ]
Lou, Zengjian [2 ]
Li, Songxiao [3 ]
机构：
[1] Minjiang Univ, Coll Math & Data Sci, Fuzhou, Peoples R China
[2] Shantou Univ, Dept Math, Shantou, Guangdong, Peoples R China
[3] Univ Elect Sci & Technol China, Inst Fundamental & Frontier Sci, Chengdu, Sichuan, Peoples R China
来源：
COMPLEX VARIABLES AND ELLIPTIC EQUATIONS | 2023年 / 68卷 / 04期
基金：
中国国家自然科学基金;
关键词：
Weighted Hardy space; Carleson measure; generalized area operator;
D O I：
10.1080/17476933.2021.2007379
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we consider the weighted Hardy space H-p(omega) induced by an A(p) weight omega. We characterize the positive Borel measures mu such that the identity operator I-d : H-p(omega) -> L-q(d mu) is bounded when 1 <= p, q < infinity. As an application, we obtain necessary and sufficient conditions for the boundedness of the generalized area operator A(mu,nu) from H-p(omega) to L-q(omega).
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页码：603 / 618
页数：16
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