Boundary behaviour of the Carathéodory and Kobayashi-Eisenman volume elements

Abstract

We study the boundary limits of the Carathéodory and Kobayashi-Eisenman volume elements on smoothly bounded convex finite type domains and also on Levi corank one domains.

16 pages, Removed boundary limits of Carathéodory-Eisenman volume element, added Theorem 1.3, final version to appear in Illinois J. Math

References in corpus (2)

• On the squeezing function and Fridman invariants
• Comparison of the Bergman kernel and the Carathéodory--Eisenman volume

Cited by in corpus (1)

• A note on the boundary behaviour of the squeezing function and Fridman invariant