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Linear Operators on Fock Spaces

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Abstract

We study linear operators acting on Fock spaces \(F^p_\alpha \) for \(0<p<\infty \) and obtain several conditions for the boundedness and compactness of such operators. Our main results extend and strengthen several existing results in the literature concerning the boundedness and compactness of operators on \(F^2_\alpha \).

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Authors and Affiliations

  1. Department of Mathematics, Shantou University, Guangdong, 515063, China

    Zengjian Lou & Senhua Zhu

  2. Department of Mathematics and Statistics, SUNY, Albany, NY, 12222, USA

    Kehe Zhu

  3. School of Mathematical Sciences, Dalian University of Technology, Dalian, 116024, China

    Senhua Zhu

Authors
  1. Zengjian Lou
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  2. Kehe Zhu
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  3. Senhua Zhu
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Corresponding author

Correspondence to Zengjian Lou.

Additional information

This work was supported by NNSF of China (Grant No. 11571217), NSF of Guangdong Province (Grant No. 2014A030313471) and the Project of International Science and Technology Cooperation Innovation Platform in Universities in Guangdong Province (Grant No. 2014KGJHZ007).

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Lou, Z., Zhu, K. & Zhu, S. Linear Operators on Fock Spaces. Integr. Equ. Oper. Theory 88, 287–300 (2017). https://doi.org/10.1007/s00020-017-2381-y

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  • DOI: https://doi.org/10.1007/s00020-017-2381-y

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