![](/images/graphics-bg.png)
Derivatives of the Berezin Transform
Author
Source
Journal of Function Spaces and Applications
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-15, 15 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-02-29
Country of Publication
Egypt
No. of Pages
15
Main Subjects
Abstract EN
For a rotation invariant domain Ω, we consider A2(Ω,μ) the Bergman space and we investigate some properties of the rank one projection A(z):=〈⋅,kz〉kz.
We prove that the trace of all the strong derivatives of A(z) is zero.
We also focus on the generalized Fock space A2(μm), where μm is the measure with weight e-|z|m, m>0, with respect to the Lebesgue measure on ℂn and establish estimations of derivatives of the Berezin transform of a bounded operator T on A2(μm).
American Psychological Association (APA)
Bommier-Hato, Hélène. 2012. Derivatives of the Berezin Transform. Journal of Function Spaces and Applications،Vol. 2012, no. 2012, pp.1-15.
https://search.emarefa.net/detail/BIM-450694
Modern Language Association (MLA)
Bommier-Hato, Hélène. Derivatives of the Berezin Transform. Journal of Function Spaces and Applications No. 2012 (2012), pp.1-15.
https://search.emarefa.net/detail/BIM-450694
American Medical Association (AMA)
Bommier-Hato, Hélène. Derivatives of the Berezin Transform. Journal of Function Spaces and Applications. 2012. Vol. 2012, no. 2012, pp.1-15.
https://search.emarefa.net/detail/BIM-450694
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-450694