Results 71 to 80 of about 1,565 (216)
Comparison of the Bergman and Szegö kernels
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Chen, Bo-Yong, Fu, Siqi
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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
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Boundary behavior of the Bergman kernel function on some pseudoconvex domains in ${\bf C}\sp n$ [PDF]
Sanghyun Cho
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Bergman kernel and hyperconvexity index [PDF]
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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On asymptotic expansions of generalized Bergman kernels on symplectic\n manifolds [PDF]
Yuri A. Kordyukov
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Bergman kernel functions for planar domains and conformal equivalence of domains
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
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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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On the Bergman Projection and Kernel in Periodic Planar Domains [PDF]
Jari Taskinen
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