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Mo Javed and
Amit Maji
Invertibility of Bergman Toeplitz operators
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| Published: |
November 25, 2025. |
| Keywords: |
Hardy space, Bergman space, Toeplitz operator, Berezin transform. |
| Subject [2010]: |
47B35, 47A05, 30H20. |
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Abstract
In this paper, we establish the invertibility of the Berezin transform of the symbol
as a necessary and sufficient condition for the invertibility of the Toeplitz operator
on the Bergman space of the unit disc. More precisely, if φ is a linear combination of a bounded analytic function g and its conjugate, then Tφ is invertible if and only if φ is bounded below.
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| Acknowledgements
The authors are thankful to the anonymous reviewer for his/her careful reading of the manuscript and for the valuable comments and suggestions.
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| Author information
Mo Javed
Indian Institute of Technology Roorkee
Department of Mathematics
Roorkee-247 667, Uttarakhand, India
javediitr07@gmail.com
Amit Maji
Indian Institute of Technology Roorkee
Department of Mathematics
Roorkee-247 667, Uttarakhand, India
amit.maji@ma.iitr.ac.in
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