Bergman-type projections in generalized Fock spaces

We give criteria for boundedness of the associated Bergman-type projections on Lp spaces on Cn with respect to generalized Gaussian weights exp(−|z|2m), m>0. Complete characterization is obtained for 0

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Bibliographic Details
Published in:Journal of mathematical analysis and applications 2012-05, Vol.389 (2), p.1086-1104
Main Authors: Bommier-Hato, Hélène, Engliš, Miroslav, Youssfi, El-Hassan
Format: Article
Language:English
Subjects:
Bergman projection
Classical Analysis and ODEs
Complex Variables
Functional Analysis
Higher order Fock space
Mathematics
Mittag–Leffler function
Reproducing kernel
Spectral Theory
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Description
Summary:We give criteria for boundedness of the associated Bergman-type projections on Lp spaces on Cn with respect to generalized Gaussian weights exp(−|z|2m), m>0. Complete characterization is obtained for 0
ISSN:0022-247X
1096-0813
DOI:10.1016/j.jmaa.2011.12.045