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).

引用

页码：603 / 618

页数：16

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