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Sums of Dual Toeplitz Products on the Orthogonal Complements of the Fock Spaces

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Abstract

We consider dual Toeplitz operators acting on the orthogonal complements of the Fock spaces over the higher dimensional complex space. We then consider operators which are finite sums of products of two dual Toeplitz operators and study the problems of when such an operator is compact and zero respectively.

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Acknowledgements

The authors would like to thank the referee for many helpful comments and suggestions.

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Authors and Affiliations

  1. Department of Mathematics, Hangzhou Normal University, Hangzhou, 311121, People’s Republic of China

    Yong Chen

  2. Department of Mathematics, Chonnam National University, Gwangju, 61186, Korea

    Young Joo Lee

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  1. Yong Chen
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  2. Young Joo Lee
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Correspondence to Young Joo Lee.

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The first author was supported by NSFC (11771401) and the second author was supported by Basic Science Research Program through the National Research Foundation of Korea(NRF) funded by the Ministry of Education (NRF-2019R1I1A3A01041943).

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Chen, Y., Lee, Y.J. Sums of Dual Toeplitz Products on the Orthogonal Complements of the Fock Spaces. Integr. Equ. Oper. Theory 93, 11 (2021). https://doi.org/10.1007/s00020-021-02623-x

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  • DOI: https://doi.org/10.1007/s00020-021-02623-x

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