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Bergman spaces with exponential weights. (English) Zbl 07004955

Summary: In this paper we introduce a kind of Bergman space \(A_\varphi^p\) on the unit disk \(\mathbf D\) 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.

MSC:

47B38 Linear operators on function spaces (general)
32A37 Other spaces of holomorphic functions of several complex variables (e.g., bounded mean oscillation (BMOA), vanishing mean oscillation (VMOA))
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