数学物理学报(英文版) ›› 2013, Vol. 33 ›› Issue (4): 1119-1126.doi: 10.1016/S0252-9602(13)60068-5

• 论文 • 上一篇    下一篇

WEIGHTED COMPOSITION OPERATORS ON WEIGHTED DIRICHLET SPACES

刘小松|娄增建*   

  1. Department of Mathematics, Shantou University, Shantou 515063, China
  • 收稿日期:2012-04-03 出版日期:2013-07-20 发布日期:2013-07-20
  • 通讯作者: 娄增建，zjlou@stu.edu.cn E-mail:gdxsliu@163.com; zjlou@stu.edu.cn
  • 基金资助:

    This work was supported by NSF of China (11171203, 11201280), New Teacher’s Fund for Doctor Stations, Ministry of Education (20114402120003) and NSF of Guangdong Province (10151503101000025, S2011010004511, S2011040004131).

WEIGHTED COMPOSITION OPERATORS ON WEIGHTED DIRICHLET SPACES

 LIU Xiao-Song, LOU Zeng-Jian*   

  1. Department of Mathematics, Shantou University, Shantou 515063, China
  • Received:2012-04-03 Online:2013-07-20 Published:2013-07-20
  • Contact: LOU Zeng-Jian，zjlou@stu.edu.cn E-mail:gdxsliu@163.com; zjlou@stu.edu.cn
  • Supported by:

    This work was supported by NSF of China (11171203, 11201280), New Teacher’s Fund for Doctor Stations, Ministry of Education (20114402120003) and NSF of Guangdong Province (10151503101000025, S2011010004511, S2011040004131).

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摘要：

We characterize the boundedness and compactness of weighted composition operators on weighted Dirichlet spaces in terms of Nevanlinna counting functions and Carleson measure.

关键词: weighted composition operator, weighted Dirichlet space, s-Carleson mea-sure, Nevanlinna counting function

Abstract:

We characterize the boundedness and compactness of weighted composition operators on weighted Dirichlet spaces in terms of Nevanlinna counting functions and Carleson measure.

Key words: weighted composition operator, weighted Dirichlet space, s-Carleson mea-sure, Nevanlinna counting function

中图分类号: 

  • 47B33
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