Acta mathematica scientia,Series A ›› 2018, Vol. 38 ›› Issue (6): 1041-1048.

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The Pointwise Multiplier on the Normal Weight Zygmund Space in the Unit Ball

Yuting Guo,Qingli Shang,Xuejun Zhang*()   

  1. College of Mathematics and Statistics, Hunan Normal University, Changsha 410006
  • Received:2017-09-12 Online:2018-12-26 Published:2018-12-27
  • Contact: Xuejun Zhang E-mail:xuejunttt@263.net
  • Supported by:
    Supported by the NSFC(11571104);the Construct Program of the Key Discipline in Hunan Province

Abstract:

Let μ be a normal function on[0, 1). In this paper, the authors character the pointwise multipliers on the normal weight Zygmund space Zμ(B) in the unit ball of Cn. The necessary and sufficient conditions for the multiplier operator is bounded or compact are given.

Key words: Normal weight Zygmund space, Pointwise multiplier, Boundedness, Compactness, Unit ball

CLC Number: 

  • O174.56
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