Results 71 to 80 of about 1,565 (216)

Comparison of the Bergman and Szegö kernels

open access: yesAdvances in Mathematics, 2011
15 ...
Chen, Bo-Yong, Fu, Siqi
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Complex symmetric difference of the weighted composition operators on weighted Bergman space of the half-plane

open access: yesAIMS Mathematics
The main goal of this paper was to completely characterize complex symmetric difference of the weighted composition operators induced by three type symbols on weighted Bergman space of the right half-plane with the conjugations $ \mathcal{J}f(z ...
Zhi-jie Jiang
doaj   +1 more source

Bergman kernel and hyperconvexity index [PDF]

open access: yesAnalysis & PDE, 2017
Let $ \subset {\mathbb C}^n$ be a bounded domain with the hyperconvexity index $ ( )>0$. Let $\varrho$ be the relative extremal function of a fixed closed ball in $ $ and set $ :=|\varrho|(1+|\log|\varrho||)^{-1}$, $ :=|\varrho|(1+|\log|\varrho||)^n$. We obtain the following estimates for the Bergman kernel: (1) For every $00$ such that $\int_
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Bergman kernel functions for planar domains and conformal equivalence of domains

open access: yesAnnales Universitatis Paedagogicae Cracoviensis: Studia Mathematica, 2008
The Bergman kernels of multiply connected domains are related with proper holomorphic maps onto the unit disc. We study multiply connected planar domains and represent conformal equivalence of the Bell representative domains with annuli or any doubly ...
Moonja Jeong
doaj  

A note on the Bergman Kernel

open access: yesComptes Rendus. Mathématique, 2014
It is known that the Bergman kernel associated with Lk, where L is positive line bundle over a complex compact manifold, has an asymptotic expansion. We give an elementary proof of the fact that the subprincipal term of this expansion is the scalar curvature.
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