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arXiv · 1707.01884

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

Said Asserda·Amal Hichame
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Abstract

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 $AL^{2}_{\phi}(\mathbb{D})$

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Said Asserda, Amal Hichame. 2017-07-06. Pointwise estimate for the Bergman kernel of the weighted Bergman spaces with exponential type weights. https://arxiv.org/abs/1707.01884

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