数学物理学报(英文版) ›› 2022, Vol. 42 ›› Issue (1): 349-363.doi: 10.1007/s10473-022-0119-7

• 论文 • 上一篇    下一篇

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

彭茹, 范亚庆   

  1. Department of Mathematics, Wuhan University of Technology, Wuhan, 430070, China
  • 收稿日期:2020-05-31 修回日期:2021-06-18 出版日期:2022-02-25 发布日期:2022-02-24
  • 通讯作者: Ru PENG,E-mail:pengru_79@163.com E-mail:pengru_79@163.com
  • 作者简介:Yaqing FAN,E-mail:15071224302@163.com
  • 基金资助:
    The work was supported by the National Natural Science Foundation of China (11771441 and 11601400).

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

Ru PENG, Yaqing FAN   

  1. Department of Mathematics, Wuhan University of Technology, Wuhan, 430070, China
  • Received:2020-05-31 Revised:2021-06-18 Online:2022-02-25 Published:2022-02-24
  • Contact: Ru PENG,E-mail:pengru_79@163.com E-mail:pengru_79@163.com
  • Supported by:
    The work was supported by the National Natural Science Foundation of China (11771441 and 11601400).

摘要: We study Toeplitz operators from Hardy spaces to weighted Bergman spaces in the unit ball of $C^{n}$. Toeplitz operators are closely related to many classical mappings, such as composition operators, the Volterra type integration operators and Carleson embeddings. We characterize the boundedness and compactness of Toeplitz operators from Hardy spaces $H^{p}$ to weighted Bergman spaces $A_{\alpha}^{q}$ for the different values of $p$ and $q$ in the unit ball.

关键词: Toeplitz operators, Hardy spaces, Bergman spaces, Carleson measure

Abstract: We study Toeplitz operators from Hardy spaces to weighted Bergman spaces in the unit ball of $C^{n}$. Toeplitz operators are closely related to many classical mappings, such as composition operators, the Volterra type integration operators and Carleson embeddings. We characterize the boundedness and compactness of Toeplitz operators from Hardy spaces $H^{p}$ to weighted Bergman spaces $A_{\alpha}^{q}$ for the different values of $p$ and $q$ in the unit ball.

Key words: Toeplitz operators, Hardy spaces, Bergman spaces, Carleson measure

中图分类号: 

  • 32A37