Saïd Asserda, Hichame Amal
Abstract
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Let AL ϕ 2 ( D ) denote the closed subspace of L 2 ( D , e − 2 ϕ d λ ) consisting of holomorphic functions in the unit disc D . For certain class of subharmonic functions ϕ : D → D , we prove an upper pointwise estimate for the Bergman kernel for AL ϕ 2 ( D ) .
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Let AL ϕ 2 ( D ) denote the closed subspace of L 2 ( D , e − 2 ϕ d λ ) consisting of holomorphic functions in the unit disc D . For certain class of subharmonic functions ϕ : D → D , we prove an upper pointwise estimate for the Bergman kernel for AL ϕ 2 ( D ) .
Key concepts: Mathematics, Bergman kernel, Pointwise, Holomorphic function, Bergman space, Mathematical analysis, Kernel (algebra), Pure mathematics