Boundary Behavior of the Bergman Metric
Klas Diederich, J. E. Forn{\ae}ss
TL;DR
This paper provides refined estimates for the Bergman metric on strongly pseudoconvex domains by utilizing the squeezing function, enhancing understanding of its boundary behavior.
Contribution
It introduces more precise boundary estimates for the Bergman metric using the squeezing function, advancing previous results in complex analysis.
Findings
Improved boundary estimates for the Bergman metric
Application of the squeezing function to complex domain geometry
Enhanced understanding of metric behavior near domain boundaries
Abstract
More precise estimates for the Bergman metric on strongly pseudoconvex domains are given, based on the use of the squeezing function.
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Taxonomy
TopicsHolomorphic and Operator Theory · Algebraic and Geometric Analysis · Meromorphic and Entire Functions