Local geodesics between toric plurisubharmonic functions with infinite energy

Abstract

Our interest is the behavior of weak geodesics between two plurisubharmonic functions on pseudoconvex domains. We characterize the convergence condition along the geodesic between toric psh functions with a pole at origin on a unit ball in ${\mathbb{C}}^n$ by means of Lelong numbers.

arXiv comment8 pages

Cited by in corpus (1)

• Geometry and Topology of the space of plurisubharmonic functions