Differentiability of the Bergman Kernel and Pseudo-Local Estimates.

Steve Bell

Displaying similar documents to “Differentiability of the Bergman Kernel and Pseudo-Local Estimates.”

Estimates of the Bergman kernel function on certain pseudoconvex domains in Cn.

Sanghyun Cho (1996)

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Bergman completeness of Zalcman type domains

Piotr Jucha (2004)

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We give an equivalent condition for Bergman completeness of Zalcman type domains. This also solves a problem stated by Pflug.

Comparing the Bergman and the Szegö Projections.

Philippe Charpentier, Aline Bonami (1990)

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The Bergman kernel functions of certain unbounded domains

Friedrich Haslinger (1998)

Annales Polonici Mathematici

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We compute the Bergman kernel functions of the unbounded domains $Ω_{p} = (z^{'}, z) \in ℂ ² : z > p (z^{'})$ , where $p (z^{'}) = {| z^{'} |}^{α} / α$ . It is also shown that these kernel functions have no zeros in $Ω_{p}$ . We use a method from harmonic analysis to reduce the computation of the 2-dimensional case to the problem of finding the kernel function of a weighted space of entire functions in one complex variable.