Acta mathematica scientia,Series A ›› 2017, Vol. 37 ›› Issue (2): 217-227.

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On an Integral-Type Operator from Dirichlet Spaces to Zygmund Type Spaces on the Unit Ball

Zhao Yanhui1, Zhang Xuejun2   

  1. 1 College of Science, Hunan University of Science and Engineering, Hunan Yongzhou 425199;
    2 College of Mathematics and Computer Science, Hunan Normal University, Changsha 410006
  • Received:2016-07-11 Revised:2016-12-17 Online:2017-04-26 Published:2017-04-26
  • Supported by:
    Supported by the NSFC (11571104) and the Natural Science Foundation of Hunan Province (2015JJ2095)

Abstract: Some questions of integral-type Operator from Dirichlet space to Zygmund 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 integral-type operator to be bounded and compact from Dirichlet space to Zygmund type spaces in the unit ball.

Key words: Dirichlet space, Zygmund type spaces, Integral-type operator, Bounded, Compact

CLC Number: 

  • O174.56
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