POINTWISE MULTIPLICATION OPERATORS FROM HARDY SPACES TO WEIGHTED BERGMAN SPACES IN THE UNIT BALL OF Cn

doi:10.1007/s10473-019-0407-z

数学物理学报(英文版) ›› 2019, Vol. 39 ›› Issue (4): 1003-1016.doi: 10.1007/s10473-019-0407-z

POINTWISE MULTIPLICATION OPERATORS FROM HARDY SPACES TO WEIGHTED BERGMAN SPACES IN THE UNIT BALL OF Cⁿ

彭茹¹, 邢晓蕾¹, 江良英²

1. Department of Mathematics, Wuhan University of Technology, Wuhan 430070, China;
2. Department of Statistics and Mathematics, Shanghai Lixin University of Accounting and Finance, Shanghai 201209, China

收稿日期:2017-12-30 出版日期:2019-08-25 发布日期:2019-09-12
作者简介:Ru PENG,E-mail:pengru_79@163.com;Xiaolei XING,E-mail:957296186@qq.com;Liangying JIANG,E-mail:liangying1231@163.com
基金资助:
Supported by the National Natural Science Foundation of China (11601400 and 11771441) and the Fundamental Research Funds for the Central Universities (2017IB012 and 2017IVB064).

POINTWISE MULTIPLICATION OPERATORS FROM HARDY SPACES TO WEIGHTED BERGMAN SPACES IN THE UNIT BALL OF Cⁿ

Ru PENG¹, Xiaolei XING¹, Liangying JIANG²

1. Department of Mathematics, Wuhan University of Technology, Wuhan 430070, China;
2. Department of Statistics and Mathematics, Shanghai Lixin University of Accounting and Finance, Shanghai 201209, China

Received:2017-12-30 Online:2019-08-25 Published:2019-09-12
Supported by:
Supported by the National Natural Science Foundation of China (11601400 and 11771441) and the Fundamental Research Funds for the Central Universities (2017IB012 and 2017IVB064).

摘要/Abstract

摘要： This article is devoted to characterizing the boundedness and compactness of multiplication operators from Hardy spaces to weighted Bergman spaces in the unit ball of Cⁿ.

关键词: Pointwise multiplication operators, Hardy spaces, Bergman spaces, Carleson measure

Abstract: This article is devoted to characterizing the boundedness and compactness of multiplication operators from Hardy spaces to weighted Bergman spaces in the unit ball of Cⁿ.

Key words: Pointwise multiplication operators, Hardy spaces, Bergman spaces, Carleson measure

中图分类号:

32A37

彭茹, 邢晓蕾, 江良英. POINTWISE MULTIPLICATION OPERATORS FROM HARDY SPACES TO WEIGHTED BERGMAN SPACES IN THE UNIT BALL OF Cⁿ[J]. 数学物理学报(英文版), 2019, 39(4): 1003-1016.

Ru PENG, Xiaolei XING, Liangying JIANG. POINTWISE MULTIPLICATION OPERATORS FROM HARDY SPACES TO WEIGHTED BERGMAN SPACES IN THE UNIT BALL OF Cⁿ[J]. Acta mathematica scientia,Series B, 2019, 39(4): 1003-1016.

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POINTWISE MULTIPLICATION OPERATORS FROM HARDY SPACES TO WEIGHTED BERGMAN SPACES IN THE UNIT BALL OF Cⁿ

POINTWISE MULTIPLICATION OPERATORS FROM HARDY SPACES TO WEIGHTED BERGMAN SPACES IN THE UNIT BALL OF Cⁿ

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