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
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
Journal title :
Journal of Mathematical Analysis and Applications
