The Bergman kernel function in dimension two
Abstract
The Bergman kernel function for the class of smooth bounded pseudoconvex domains of finite type in $\doubc\sp2$ is studied and good estimates on the kernel and its derivatives are obtained near the boundary. These are used to show that the holomorphic sectional curvatures, in the Bergman metric, of the domains are locally bounded.
Degree
Ph.D.
Advisors
Catlin, Purdue University.
Subject Area
Mathematics
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