Results 11 to 20 of about 1,452 (203)
On weights which admit the reproducing kernel of Bergman type
International Journal of Mathematics and Mathematical Sciences, 1992 In this paper we consider (1) the weights of integration for which the reproducing kernel of the Bergman type can be defined, i.e., the admissible weights, and (2) the kernels defined by such weights.
Zbigniew Pasternak-Winiarski
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Comptes Rendus. Mathématique, 2014 It is known that the Bergman kernel associated with L k , where
Charles, Laurent
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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 \(\mathbb D\).
Misra, Gadadhar
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Regularity of the $$p-$$Bergman kernel
Calculus of Variations and Partial Differential Equations, 2023 To appear in Calculus of Variations and PDE.
Bo-Yong Chen, Yuanpu Xiong
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Applications of Bergman kernel functions [PDF]
, 2003 In this paper we revisit the so-called Bergman kernel method (BKM) for solving conformal mapping problems. This method is based on the reproducing property of the Bergman kernel function.
Gürlebeck, K., Falcão, M. I., Bock, S.
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The Bergman kernel: Explicit formulas, deflation, Lu Qi-Keng problem and Jacobi polynomials [PDF]
, 2017 summary:We investigate the Bergman kernel function for the intersection of two complex ellipsoids $\{(z,w_1,w_2) \in \mathbb {C}^{n+2} \colon |z_1|^2 + \cdots + |z_n|^2 + |w_1|^q < 1, \ |z_1|^2 + \cdots + |z_n|^2 + |w_2|^r < 1\}.
Tomasz Beberok, Beberok, Tomasz
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Mathematics, 2022 The central problem of this study is to represent any holomorphic and square integrable function on the Kepler manifold in the series form based on Fourier analysis.
Zeyuan Song, Zuoren Sun
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On Extremal Problems in Certain New Bergman Type Spaces in Some Bounded Domains in Cn
Journal of Function Spaces, 2014 Based on recent results on boundedness of Bergman projection with positive Bergman kernel in analytic spaces in various types of domains in Cn, we extend our previous sharp results on distances obtained for analytic Bergman type spaces in unit disk to ...
Romi F. Shamoyan, Olivera Mihić
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Weighted Bergman Kernels and Mathematical Physics
Axioms, 2020 We review several results in the theory of weighted Bergman kernels. Weighted Bergman kernels generalize ordinary Bergman kernels of domains Ω ⊂ C n but also appear locally in the attempt to quantize classical states of mechanical systems ...
Elisabetta Barletta +2 more
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Bergman projections on weighted Fock spaces in several complex variables
Journal of Inequalities and Applications, 2017 Let ϕ be a real-valued plurisubharmonic function on C n ${\mathbb {C}}^{n}$ whose complex Hessian has uniformly comparable eigenvalues, and let F p ( ϕ ) $\mathcal{F}^{p}(\phi)$ be the Fock space induced by ϕ.
Xiaofen Lv
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