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Setareh Eskandari,
Ali Abkar,
Per Ahag, and
Antti Perala
Sub-Hilbert relation for Fock--Sobolev type spaces
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| Published: |
June 29, 2022. |
| Keywords: |
Sub-Fock Hilbert space, Fock--Sobolev spaces, Toeplitz operator, reproducing kernel. |
| Subject [2020]: |
Primary 47B35; Secondary 30H05, 46E20. |
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Abstract
In this paper, two specific sub-Hilbert spaces are studied. They arise from the action of a Toeplitz operator on Fock--Sobolev type spaces, induced by a general Gaussian type weight. The argument is based on analysing the reproducing kernel of the corresponding sub-Hilbert space.
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| Acknowledgements
This paper was written when the first named author was visiting the Department of Mathematics and Mathematical Statistics of Umea University during July 2021 to April 2022. She wishes to thank the chairman Prof. Ake Brannstrom and the whole department for all the warm hospitality.
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| Author information
Setareh Eskandari:
Department of Mathematics and Mathematical Statistics
Umea University
90187 Umea, SWEDEN, and
Department of Pure Mathematics
Faculty of Science, Imam Khomeini International University
34149 Qazvin, Iran
s.eskandari@edu.ikiu.ac.ir
Ali Abkar:
Department of Pure Mathematics
Faculty of Science, Imam Khomeini International University
34149 Qazvin, Iran
abkar@sci.ikiu.ac.ir
Per Ahag:
Department of Mathematics and Mathematical Statistics
Umea University
90187 Umea, SWEDEN
per.ahag@umu.se
Antti Perala:
Department of Mathematics and Mathematical Statistics
Umea University
90187 Umea, SWEDEN
antti.perala@umu.se
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