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Weighted Composition Operators Between the Bloch Type Space and \(H^\infty (\mathbb {B}_X)\) of Infinite Dimensional Bounded Symmetric Domains

  • Yongmin LiuEmail author
  • Yanyan Yu
Article
  • 30 Downloads

Abstract

Under some assumptions on the symbols, we give a necessary as well as a sufficient condition when weighted composition operators between the Bloch type space and the space of bounded holomorphic functions of infinite dimensional bounded symmetric domains are bounded.

Keywords

Weighted composition operator Bloch type space Bounded symmetric domains JB\(^*\)-triple Kobayashi metric 

Mathematics Subject Classification

Primary 47B38 32A18 Secondary 32A30 

Notes

Acknowledgements

The authors are very grateful to anonymous referees and editors for their valuable and detailed suggestions and insightful comments to improve the original manuscript.

Author Contributions

All authors contributed equally to the writing of this paper. They also read and approved the final manuscript.

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Copyright information

© Springer Nature Switzerland AG 2019

Authors and Affiliations

  1. 1.School of Mathematics and StatisticsJiangsu Normal UniversityXuzhouPeople’s Republic of China
  2. 2.School of Mathematical and Physical SciencesXuzhou Institute of TechnologyXuzhouPeople’s Republic of China

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