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The explicit forms and zeros of the Bergman kernel function for Hartogs type domains

Journal of Functional Analysis, 2012
We define the Cartan–Hartogs domain, which is the Hartogs type domain constructed over the product of bounded Hermitian symmetric domains and compute the explicit form of the Bergman kernel for the Cartan–Hartogs domain using the virtual Bergman kernel ...
Jong-Do Park
exaly   +2 more sources

Estimates of the Harmonic Bergman Kernel on Smooth Domains

Journal of Functional Analysis, 2001
We obtain optimal size estimates of the harmonic Bergman kernel and its derivatives on smooth domains. Based on these estimates we derive mapping properties of the harmonic Bergman projection on Lebesgue spaces and Lipschitz ...
Kang, Hyeonbae, Hyeonbae Kang, Koo, Hyungwoon, Hyungwoon Koo   +3 more
exaly   +2 more sources

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Bergman Kernel, Szegö Kernel and Dirichlet Integral

Complex Analysis and Operator Theory, 2023
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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ON DISCONTINUITY OF THE BERGMAN KERNEL FUNCTION

International Journal of Mathematics, 1999
Let [Formula: see text] be a Ck-smoothly (with k≥1) bounded pseudoconvex domain and [Formula: see text] denote its Bergman kernel function. In this article the question is investigated, whether the function [Formula: see text] is continuous up to the boundary in the topology of the extended real line [Formula: see text].
Diederich, Klas, Herbort, Gregor
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Variational Formula for Bergman Kernels

Journal of Mathematical Sciences, 2001
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Bergman Kernel and Bergman Metric

2000
In this chapter we consider general domains in ℂ n . The material discussed is easily available in the literature. Still we give here essentially complete proofs, since we can do it in very concisely and since the results will be used later in several instances.
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Weighted Bergman Kernels and Quantization}

Communications in Mathematical Physics, 2002
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On the transformation of bergman kernels

Complex Variables, Theory and Application: An International Journal, 1985
This paper deals with the transformation of Bergman kernels. If we associate to a formally-hyperbolic differential equation another one of the same type by a differential operator we can declare in which way the Bergman kernels are transformed. Further-more. conditions are determined, so that the Bergman kernel of the first kind of the initial equation
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The Bergman Kernel and Metric

2011
The subject of this chapter is a remarkable construction developed by Stefan Bergman that produces an explicit, smooth, automorphism-invariant Hermitian metric on each bounded domain in \(\mathbb{C}{^n}\).
Robert E. Greene, Kang-Tae Kim, Steven G. Krantz   +2 more
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The Bergman kernel

2023
Richard Beals, Roderick S. C. Wong
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