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Moscow Mathematical Journal, 2016, Volume 16, Number 4, Pages 641–649
DOI: https://doi.org/10.17323/1609-4514-2016-16-4-641-649 (Mi mmj613) 		 
This article is cited in 1 scientific paper (total in 1 paper)

A new formula for Berezin transforms attached to generalized Bergman spaces on the unit ball $\mathbb B^n$

Abdelhamid Boussejraa, Zouhaїr Mouyanb

a Department of Mathematics, Faculty of Sciences, Ibn Tofail University, PO Box. 133, Kénitra, Morocco
b Department of Mathematics, Faculty of Sciences & Technics (M'Ghila), PO Box. 523, Béni Mellal, Morocco
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DOI: https://doi.org/10.17323/1609-4514-2016-16-4-641-649
Abstract: To each generalized Bergman space on the unit ball a Berezin transform is attached. We add a new formula representing this transform as a¨function of the Laplace–Beltrami operator by using the Fourier–Helgason transform.
Key words and phrases: ïeneralized Bergman spaces, Berezin transforms, magnetic Schrödinger operator, Laplace–Beltrami operator, Fourier–Helgason transform.
Received: September 1, 2014; in revised form February 8, 2016
Bibliographic databases:
Document Type: Article
MSC: 43A32, 47B35, 47G10, 81Q35
Language: English
Citation: Abdelhamid Boussejra, Zouhaïr Mouyan, “A new formula for Berezin transforms attached to generalized Bergman spaces on the unit ball $\mathbb B^n$”, Mosc. Math. J., 16:4 (2016), 641–649
Citation in format AMSBIB
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\by Abdelhamid~Boussejra, Zouha\"{\i}r~Mouyan
\paper A new formula for Berezin transforms attached to generalized Bergman spaces on the unit ball~$\mathbb B^n$
\jour Mosc. Math.~J.
\yr 2016
\vol 16
\issue 4
\pages 641--649
\mathnet{http://mi.mathnet.ru/mmj613}
\crossref{https://doi.org/10.17323/1609-4514-2016-16-4-641-649}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3598499}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000391211000003}
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