The relative extremal function for Borel sets in complex manifolds
Armen Edigarian, Ragnar Sigurdsson
TL;DR
This paper investigates a disc formula for the relative extremal function associated with Borel sets within complex manifolds, providing new insights into their potential-theoretic properties.
Contribution
It introduces a novel disc formula for the relative extremal function in complex manifolds, expanding understanding of Borel sets in this context.
Findings
Established a new disc formula for the relative extremal function
Extended potential theory to Borel sets in complex manifolds
Provided tools for analyzing extremal functions in complex analysis
Abstract
We study a disc formula for the relative extremal function for Borel sets in complex manifolds.
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Taxonomy
TopicsGeometry and complex manifolds · Geometric Analysis and Curvature Flows · Meromorphic and Entire Functions