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Vishwa Dewage and
Mishko Mitkovski
A quantum harmonic analysis approach to the Berger-Coburn theorem
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| Published: |
July 10, 2025. |
| Keywords: |
Toeplitz operators, Fock space, heat flow, heat semigroup, Berger-Coburn, compactness, Schatten class. |
| Subject [2020]: |
22D25, 30H20, 47B35, 47L80. |
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Abstract
We use quantum harmonic analysis for densely defined operators to provide a simplified proof of the Berger-Coburn theorem for boundedness of Toeplitz operators. In addition, we revisit compactness and Schatten-class membership of densely defined Toeplitz operators.
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| Acknowledgements
M. M. was supported in part by NSF grant DMS-2000236.
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| Author information
Vishwa Dewage
Department of Mathematics
Clemson University
South Carolina, SC 29634, USA
vdewage@clemson.edu
Mishko Mitkovski
Department of Mathematics
Clemson University
South Carolina, SC 29634, USA
mmitkov@clemson.edu
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