Relative extremal functions and characterization of pluripolar sets in complex manifolds

Edigarian, Armen; Sigurdsson, Ragnar

doi:10.1090/S0002-9947-2010-05080-9

Relative extremal functions and characterization of pluripolar sets in complex manifolds
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by Armen Edigarian and Ragnar Sigurdsson PDF

Trans. Amer. Math. Soc. 362 (2010), 5321-5331 Request permission

Abstract:

We study a disc formula for the relative extremal function for a subset of a complex manifold and apply it to give a description of pluripolar sets and polynomial hulls.

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