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The Bergman metric and the pluricomplex Green function

Author(s): Zbigniew Blocki
Journal: Trans. Amer. Math. Soc. 357 (2005), 2613-2625.
MSC (2000): Primary 32F45; Secondary 32U35
Posted: March 1, 2005
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Abstract: We improve a lower bound for the Bergman distance in smooth pseudoconvex domains due to Diederich and Ohsawa. As the main tool we use the pluricomplex Green function and an $L^2$-estimate for the $\overline\partial$-operator of Donnelly and Fefferman.

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Additional Information:

Zbigniew Blocki
Affiliation: Jagiellonian University, Institute of Mathematics, Reymonta 4, 30-059 Kraków, Poland -- and -- Max-Planck-Institute for Mathematics in the Sciences, Inselstr.22-26, 04103 Leipzig, Germany
Email: blocki@im.uj.edu.pl

DOI: 10.1090/S0002-9947-05-03738-4
PII: S 0002-9947(05)03738-4
Received by editor(s): May 29, 2003
Posted: March 1, 2005
Additional Notes: This research was partially supported by KBN Grant \#2 P03A 028 19
Copyright of article: Copyright 2005, American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.

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