Title of article
Bergman-type projections in generalized Fock spaces
Author/Authors
Hélène Bommier-Hato، نويسنده , , Hélène and Engli?، نويسنده , , Miroslav and Youssfi، نويسنده , , El-Hassan، نويسنده ,
Issue Information
دوهفته نامه با شماره پیاپی سال 2012
Pages
19
From page
1086
To page
1104
Abstract
We give criteria for boundedness of the associated Bergman-type projections on L p spaces on C n with respect to generalized Gaussian weights exp ( − | z | 2 m ) , m > 0 . Complete characterization is obtained for 0 < m ⩽ 1 and 2 n 2 n − 1 < m < 2 ; partial results are given for other values of m.
Keywords
Bergman projection , Higher order Fock space , reproducing kernel , Mittag–Leffler function
Journal title
Journal of Mathematical Analysis and Applications
Serial Year
2012
Journal title
Journal of Mathematical Analysis and Applications
Record number
1562677
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