Advanced Studies in Pure Mathematics

The Bergman kernel and pluripotential theory

Zbigniew Błocki

Full-text: Open access

Abstract

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

Article information

Source
Potential Theory in Matsue, H. Aikawa, T. Kumagai, Y. Mizuta and N. Suzuki, eds. (Tokyo: Mathematical Society of Japan, 2006), 1-9

Dates
Received: 25 February 2005
First available in Project Euclid: 16 December 2018

Permanent link to this document
https://projecteuclid.org/ euclid.aspm/1544999675

Digital Object Identifier
doi:10.2969/aspm/04410001

Mathematical Reviews number (MathSciNet)
MR2277818

Zentralblatt MATH identifier
1140.32003

Subjects
Primary: 32A25: Integral representations; canonical kernels (Szego, Bergman, etc.) 32U15: General pluripotential theory

Keywords
Bergman kernel Bergman metric pluricomplex Green function hyperconvex domains

Citation

Błocki, Zbigniew. The Bergman kernel and pluripotential theory. Potential Theory in Matsue, 1--9, Mathematical Society of Japan, Tokyo, Japan, 2006. doi:10.2969/aspm/04410001. https://projecteuclid.org/euclid.aspm/1544999675


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