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Complex Analysis and Operator Theory

, Volume 13, Issue 1, pp 223–239 | Cite as

The Weighted Composition Operators on the Large Weighted Bergman Spaces

  • Inyoung ParkEmail author
Article
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Abstract

In this paper, we characterize bounded, compact or Schatten class weighted composition operators acting on Bergman spaces with the exponential type weights. Moreover, we give the proof of the necessary part for the boundedness of \(C_\phi \) on large weighted Bergman spaces given by Kriete and MacCluer (J Indiana Univ Math 1(3):755–788, 1992).

Keywords

Weighted composition operator Large weighted Bergman space Schatten class 

Mathematics Subject Classification

Primary 30H20 47B10 47B35 
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Notes

Acknowledgements

The author would like to thank the referee for indicating various mistakes and giving helpful comments.

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Copyright information

© Springer International Publishing AG, part of Springer Nature 2018

Authors and Affiliations

  1. 1.BK21-Mathematical Sciences DivisionPusan National UniversityBusanRepublic of Korea

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