Derivatives of the Berezin Transform

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 wi...

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Bibliographic Details
Main Author: Hélène Bommier-Hato
Format: Article
Language:English
Published: Wiley 2012-01-01
Series:Journal of Function Spaces and Applications
Online Access:http://dx.doi.org/10.1155/2012/160808
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