A disc formula for plurisubharmonic subextensions in manifolds
Barbara Drinovec Drnovsek
TL;DR
This paper establishes a disc formula for the largest plurisubharmonic subextension of an upper semicontinuous function in complex manifolds, under certain conditions on open sets W and X.
Contribution
It provides a sufficient condition for when a disc formula applies to plurisubharmonic subextensions in complex manifolds.
Findings
Disc formula for plurisubharmonic subextensions derived.
Conditions on open sets W and X identified.
Extension of subextensions characterized under these conditions.
Abstract
We provide a sufficient condition for open sets W and X such that a disc formula for the largest plurisubharmonic subextension of an upper semicontinuous function on a domain W to a complex manifold X holds.
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Taxonomy
TopicsHolomorphic and Operator Theory · Geometry and complex manifolds · Analytic and geometric function theory