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Santu Bera
Dirichlet-type spaces of the unit bidisc and toral completely hyperexpansive operators
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| Published: |
January 10, 2026. |
| Keywords: |
toral completely hyperexpansive operator, Dirichlet-type spaces, Gleason's problem, Hardy spaces, superharmonic function, wandering subspace. |
| Subject [2020]: |
Primary 47A13, 32A10, 47B38; Secondary 31C05, 46E20. |
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Abstract
We study a notion, originally introduced by Aleman in one variable, of Dirichlet-type spaces on the unit bidisc with superharmonic weights related to finite positive Borel measures.
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| Acknowledgements
The author is supported through the PMRF Scheme (2301352).
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| Author information
Santu Bera
Department of Mathematics and Statistics
Indian Institute of Technology Kanpur
Kanpur 208016, India
santuddd12@gmail.com
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