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Composition Operators on Hilbert Spaces of Entire Functions of Several Variables

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Abstract

We study composition operators acting on Hilbert spaces of entire functions in several variables. Depending on the defining weight sequence of the space, different criteria for boundedness and compactness are developed. Our work extends several known results on Fock spaces and other spaces of entire functions.

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Authors and Affiliations

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

    Minh Luan Doan & Le Hai Khoi

  2. Department of Mathematics and Statistics, University of Toledo, Toledo, OH , 43606, USA

    Trieu Le

Authors
  1. Minh Luan Doan
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  2. Le Hai Khoi
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  3. Trieu Le
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Correspondence to Trieu Le.

Additional information

Minh Luan Doan and Le Hai Khoi were supported in part by MOE’s AcRF Tier 1 Grant M4011166.110 (RG24/13). Le Hai Khoi was also supported in part by MOE’s AcRF Tier 1 Grant M4011724.110 (RG128/16). Trieu Le was supported in part by the University of Toledo’s Summer Research Awards and Fellowships Program.

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Doan, M.L., Khoi, L.H. & Le, T. Composition Operators on Hilbert Spaces of Entire Functions of Several Variables. Integr. Equ. Oper. Theory 88, 301–330 (2017). https://doi.org/10.1007/s00020-017-2384-8

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  • DOI: https://doi.org/10.1007/s00020-017-2384-8

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