The Bergman metric and the pluricomplex Green function

Błocki, Zbigniew

doi:10.1090/S0002-9947-05-03738-4

The Bergman metric and the pluricomplex Green function
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Trans. Amer. Math. Soc. 357 (2005), 2613-2625 Request permission

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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