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Boundary behavior of the Carathéodory and Kobayashi-Eisenman volume elements. (English) Zbl 1442.32019
Summary: We study the boundary asymptotics of the Carathéodory and Kobayashi-Eisenman volume elements on smoothly bounded convex finite type domains and Levi corank one domains.

##### MSC:
 32F45 Invariant metrics and pseudodistances in several complex variables 32T25 Finite-type domains 32A25 Integral representations; canonical kernels (Szegő, Bergman, etc.)
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