A Note on the Differential Operator on Weighted Fock Spaces
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Published:2023-07-31
Issue:7
Volume:76
Page:
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ISSN:2367-5535
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Container-title:Proceedings of the Bulgarian Academy of Sciences
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language:
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Short-container-title:C. R. Acad. Bulg. Sci.
Author:
Eskişehirli Beyaz
Abstract
The differential operator Df = f′ is a canonical example of unbounded operators in many Banach spaces. In this study, we identify a class of weighted Fock spaces in which the differential operator is bounded. Then, we obtain some properties of the differential operator on these spaces in terms of its C*-algebraic structure in the one and two-dimensional cases.
Publisher
Prof. Marin Drinov Publishing House of BAS (Bulgarian Academy of Sciences)
Subject
Multidisciplinary