Acta mathematica scientia,Series A ›› 2020, Vol. 40 ›› Issue (3): 569-578.

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Extended Cesàro Operator from Weighted Bergman Spaces to Ƶμ Type Spaces on the Unit Ball

Yanhui Zhao1,*(),Xiuyun Wu2,Chunyan Liao1   

  1. 1 College of Science, Hunan University of Science and Engineering, Hunan Yongzhou 425199
    2 School of Mathematics and Statistics, Anhui Normal University, Anhui Wuhu 241003
  • Received:2018-10-23 Online:2020-06-26 Published:2020-07-15
  • Contact: Yanhui Zhao E-mail:1261450046@qq.com
  • Supported by:
    the NSF of Hunan Province(2019JJ40089);the NSF of Hunan Province(2018JJ3192);the Construct Program Applied Characteristic Discipline in Hunan University of Science and Engineering

Abstract:

Some questions of extended Cesàro operator from weighted Bergman space to Ƶμ type spaces in the unit ball were studied in this paper. By the methods of functional analysis and several complex variables, the necessary and sufficient conditions are given for extended Cesàro operator to be bounded and compact from weighted Bergman space to Ƶμ type spaces in the unit ball.

Key words: Weighted Bergman space, Ƶμ type spaces, Extended Cesàro operator, Bounded, Compact

CLC Number: 

  • O174.56
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