The Bergman kernel and pluripotential theory

VOL. 44 | 2006 The Bergman kernel and pluripotential theory

Chapter Author(s) Zbigniew Błocki

Editor(s) Hiroaki Aikawa, Takashi Kumagai, Yoshihiro Mizuta, Noriaki Suzuki

Adv. Stud. Pure Math., 2006: 1-9 (2006) DOI: 10.2969/aspm/04410001

Abstract

We survey recent developments relating the notions of the Bergman kernel and pluripotential theory and indicate some open problems.

Published: 1 January 2006

First available in Project Euclid: 16 December 2018

MathSciNet: MR2277818

Digital Object Identifier: 10.2969/aspm/04410001

Subjects:

Primary: 32A25 , 32U15

Keywords: Bergman kernel , Bergman metric , hyperconvex domains , Pluricomplex Green function

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Vol. 44 • 1 January 2006

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Mathematical Society of Japan