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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
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
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
Linking options:
https://www.mathnet.ru/eng/mmj613 https://www.mathnet.ru/eng/mmj/v16/i4/p641
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Abstract page: | 226 | References: | 58 |
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