Acta mathematica scientia,Series A ›› 2020, Vol. 40 ›› Issue (2): 288-303.

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Weighted Composition Operator on the Normal Weight Zygmund Space in the Unit Ball

Si Xu,Xuejun Zhang*()   

  1. College of Mathematics and Statistics, Hunan Normal University, Changsha 410006
  • Received:2018-10-30 Online:2020-04-26 Published:2020-05-21
  • Contact: Xuejun Zhang E-mail:xuejunttt@263.net
  • Supported by:
    the NSFC(11571104);the Hunan Provincial Innovation Foundation for Postgraduate(CX2018B286)

Abstract:

Let μ be a normal function on [0,1). Suppose that φ is a holomorphic self-map on the unit ball B in Cn and ψH(B). Here the authors characterize the boundedness and compactness of the weighted composition operator ψCφ on the Zygmund-type space Zμ(B) with a normal weight μ on the unit ball in Cn.

Key words: Normal weight Zygmund space, High dimensions, Composition operator, Boundedness, Compactness

CLC Number: 

  • O174.56
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