On some extremal problems in Bergman spaces in weakly pseudoconvex domains
Résumé
We consider and solve extremal problems in various bounded weakly pseudoconvex domains in ℂ
n
based on recent results on boundedness of Bergman projection with positive Bergman kernel in Bergman spaces
A
α
p
$A_\alpha ^p$
in such type domains. We provide some new sharp theorems for distance function in Bergman spaces in bounded weakly pseudoconvex domains with natural additional condition on Bergman representation formula.
Domaines
Mathématiques [math]Origine | Accord explicite pour ce dépôt |
---|