Pointwise estimate for the Bergman kernel of the weighted Bergman spaces with exponential type weights

Autor: Asserda, Said, Hichame, Amal
Rok vydání: 2017
Předmět:
Zdroj: Comptes Rendus Mathematique, Volume 352, Issue 1, Pages 13-16 (January 2014)
Druh dokumentu: Working Paper
Popis: Let $AL^{2}_{\phi}(\mathbb{D})$ denote the closed subspace of $L^{2}(\mathbb{D},e^{-2\phi}d\lambda)$ consisting of holomorphic functions in the unit disc ${\mathbb D}$. For certain class of subharmonic funcions $\phi : {\mathbb D}\rightarrow{\mathbb D}$, we prove upper pointwise estimate for the Bergman kernel for $AL^{2}_{\phi}(\mathbb{D})$
Databáze: arXiv