Displaying similar documents to “Some applications of the Bergman kernel to geometrical theory of functions”

Bergman completeness of Zalcman type domains

Piotr Jucha (2004)

Studia Mathematica

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

Zeroes of the Bergman kernel of Hartogs domains

Miroslav Engliš (2000)

Commentationes Mathematicae Universitatis Carolinae

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We exhibit a class of bounded, strongly convex Hartogs domains with real-analytic boundary which are not Lu Qi-Keng, i.e. whose Bergman kernel function has a zero.