Bergman-type projections in generalized Fock spaces

Helene Bommier-Hato (1) , Miroslav Englis (2) , El-Hassan Youssfi (1)

1 LATP - Laboratoire d'Analyse, Topologie, Probabilités
2 Mathematics institue, Prague

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). Complete characterization is obtained for 0

Mots clés: Bergman Projection; Begrman Kernel; Fock space

Domaines: Variables complexes [math.CV]; Analyse fonctionnelle [math.FA]; Analyse classique [math.CA]; Théorie spectrale [math.SP]

Helene Bommier-Hato, Miroslav Englis, El-Hassan Youssfi. Bergman-type projections in generalized Fock spaces. Journal of Mathematical Analysis and Applications, 2012, 329 (2), pp.1086-1104. ⟨10.1016/j.jmaa.2011.12.045⟩. ⟨hal-00816150⟩