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Bergman spaces with exponential weights
Authors:Zhangjian Hu  Xiaofen Lv  Alexander P. Schuster
Affiliation:1. Department of Mathematics, Huzhou University, Huzhou, Zhejiang, 313000, China;2. Department of Mathematics, San Francisco State University, San Francisco, 94132, USA
Abstract:In this paper we introduce a kind of Bergman space Aφp on the unit disk D with exponential weights, which cover those defined by Borichev et al. (2007) [6]. We obtain upper and lower bound estimates on the Bergman kernel. As an application, we discuss the Bergman projection and duality.
Keywords:primary  47B38  secondary  32A37  Bergman spaces with exponential weights  Bergman kernel  Corresponding author.
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