Uncertainty inequality on weighted Hardy spaces

In this paper we introduce a weighted Hardy space . This space generalizes some complex Hilbert spaces like the Dirichlet space , the Bergman space and the Segal–Bargmann space . It plays the role of background for our contribution. In particular, we study the derivative operator and its adjoint ope...

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Bibliographic Details
Published inGeorgian mathematical journal Vol. 30; no. 4; pp. 603 - 610
Main Author Soltani, Fethi
Format Journal Article
LanguageEnglish
Published De Gruyter 01.08.2023
Subjects
30H10
32A15
derivative operator
uncertainty inequality
Weighted Hardy space
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Summary:In this paper we introduce a weighted Hardy space . This space generalizes some complex Hilbert spaces like the Dirichlet space , the Bergman space and the Segal–Bargmann space . It plays the role of background for our contribution. In particular, we study the derivative operator and its adjoint operator on . Furthermore, we establish a general uncertainty inequality of Heisenberg type for the space
ISSN:1072-947X
1572-9176
DOI:10.1515/gmj-2023-2026