Acta mathematica scientia,Series A ›› 2015, Vol. 35 ›› Issue (4): 748-755.

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Weighted Composition Operators from α-Zygmund Spaces into β-Bloch Spaces

Lu Heng, Zhang Taizhong   

  1. School of Mathematics and Statistics, Nanjing University of Information Science and Technology, Nanjing 210044
  • Received:2014-06-19 Revised:2015-03-28 Online:2015-08-25 Published:2015-08-25

Abstract:

In this paper, we prove sufficient and necessary conditions for weighted composition operators from α-Zygmund spaces into β-Bloch spaces in the unit disk to be bounded and compact.

Key words: Weighted composition operator, α-Zygmund space, β-Bloch space, Boundedness, Compactness

CLC Number: 

  • O174.56
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