Results 61 to 70 of about 686 (166)
Geometry of analytic continuation on complex manifolds – history, survey, and report
Complex ManifoldsBeginning with the state of art around 1953, solutions of the Levi problem on complex manifolds will be recalled at first up to Takayama’s result in 1998.
Ohsawa Takeo
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2-Complex Symmetric Weighted Composition Operators on the Weighted Bergman Space of the Unit Ball
AxiomsThere are two aims in this paper. One is to completely characterize complex symmetric and 2-complex symmetric weighted composition operators induced by some special symbols on the weighted Bergman space of the unit ball, and the other is to fully ...
Hui-Ling Jin, Zhi-Jie Jiang
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The Bergman kernel function [PDF]
Indian Journal of Pure and Applied Mathematics, 2010 The author shows that a large family of square matrix valued kernel functions defined on the unit disc \(\mathbb D\subset\mathbb C\), which were constructed in [\textit{A. Korányi} and \textit{G. Misra}, J. Funct. Anal. 254, No. 9, 2419--2436 (2008; Zbl 1171.46022)], behave like the familiar Bergman kernel function on \(\mathbb D\).
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The Bergman kernel on forms: General theory
Proceedings of the American Mathematical Society, 2018 The goal of this paper is to explore the Bergman projection on forms. In particular, we show that some of most basic facts used to construct the Bergman kernel on functions, such as pointwise evaluation in
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Bergman kernel functions for planar domains and conformal equivalence of domains
Annales 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
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The bergman kernels of cartan — hartogs domains
Complex Variables, Theory and Application: An International Journal, 1999 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Bergman kernels and subadjunction
, 2010 In this article our main result is a more complete version of the statements obtained in {\rm [6]}. One of the important technical point of our proof is an $\displaystyle L^{2\over m}$ extension theorem of Ohsawa-Takegoshi type, which is derived from the original result by a simple fixed point method.
Berndtsson, Bo, Păun, Mihai
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The asymptotic behavior of Bergman kernels
Advances in MathematicsLet $( X ,d ,p ) $ be the pointed Gromov-Hausdorff limit of a sequence of pointed complete polarized Kähler manifolds $( M_l ,ω_l ,\mathcal{L}_l ,h_l ,p_l ) $ with $Ric ( h_l ) =2πω_l $, $Ric ( ω_l ) \geq -Λω_l $ and $Vol \big( B_1 ( p_l ) \big) \geq v $, $\forall l\in\mathbb{N} $, where $Λ,v>0$ are constants. Then $X$ is a normal complex space [Liu-
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Asymptotics of Bergman kernels
, 2005 We give an elementary proof of the existence of an asymptotic expansion in powers of $k$ of the Bergman kernel associated to $L^k$, where $L$ is a positive line bundle. We also give an algorithm for computing the coefficients in the expansion.
Berman, Robert +2 more
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