Skip to main content
SpringerLink
Log in

Boundedness and Compactness of Weighted Composition Operators on Fock Spaces \(\mathcal {F}^{p}(\mathbb {C})\)

  • Published:
Acta Mathematica Vietnamica Aims and scope Submit manuscript

Abstract

In this paper, we study weighted composition operators on the Fock spaces which are non-Hilbert spaces. Criteria for boundedness and compactness of such operators are obtained. Our results contain the corresponding results for Fock spaces which are Hilbert ones, as particular cases.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. Cowen, C.C., MacCluer, B.D.: Composition Operators on Spaces of Analytic Functions. Studies in Advanced Mathematics. CRC Press, Boca Raton (1995)

    MATH  Google Scholar 

  2. Le, T.: Normal and isometric weighted composition operators on the Fock space. Bull. Lond. Math. Soc. 46, 847–856 (2014)

    Article  MathSciNet  MATH  Google Scholar 

  3. Ueki, S.: Weighted composition operators on some function spaces of entire functions. Bull. Belg. Math. Soc. Simon Stevin 17, 343–353 (2010)

    MathSciNet  MATH  Google Scholar 

  4. Zhu, K.: Analysis on Fock Spaces. Springer, New York (2012)

    Book  MATH  Google Scholar 

Download references

Acknowledgements

The authors would like to thank Trieu Le for useful comments on the first draft of this paper.

Author information

Authors and Affiliations

  1. Division of Mathematical Sciences, School of Physical and Mathematical Sciences, Nanyang Technological University (NTU), Singapore, 637371, Singapore

    Pham Viet Hai & Le Hai Khoi

Authors
  1. Pham Viet Hai
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Le Hai Khoi
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Le Hai Khoi.

Additional information

Supported in part by PHC Merlion Project 1.04.14

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Hai, P.V., Khoi, L.H. Boundedness and Compactness of Weighted Composition Operators on Fock Spaces \(\mathcal {F}^{p}(\mathbb {C})\) . Acta Math Vietnam 41, 531–537 (2016). https://doi.org/10.1007/s40306-016-0174-z

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s40306-016-0174-z

Keywords

Mathematics Subject Classification (2010)

Search

Navigation