Monge-Ampere boundary measures
Urban Cegrell, Berit Kemppe
TL;DR
This paper investigates the properties of Monge-Ampere boundary measures associated with plurisubharmonic functions, focusing on their boundary values and how they can be characterized and utilized.
Contribution
It introduces new insights into the boundary behavior of Monge-Ampere measures for plurisubharmonic functions, expanding understanding of their boundary value problems.
Findings
Characterization of swept-out Monge-Ampere measures
Boundary value relations for plurisubharmonic functions
New techniques for analyzing boundary measures
Abstract
We study swept-out Monge-Ampere measures of plurisubharmonic functions and boundary values related to these measures.
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Taxonomy
TopicsGeometry and complex manifolds · Geometric Analysis and Curvature Flows · Advanced Algebra and Geometry