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.References
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Additional Information
- Armen Edigarian
- Affiliation: Institute of Mathematics, Jagiellonian University, Lojasiewicza 6, 30-348 Kraków, Poland
- MR Author ID: 365638
- Email: Armen.Edigarian@im.uj.edu.pl
- Ragnar Sigurdsson
- Affiliation: Science Institute, University of Iceland, Dunhaga 3, IS-107 Reykjavik, Iceland
- Email: ragnar@hi.is
- Received by editor(s): June 28, 2008
- Published electronically: May 20, 2010
- Additional Notes: This work was a part of the Research Grant No. 1 PO3A 005 28, which was supported by public means in the programme for promoting science in Poland in the years 2005-2008. The first author was a fellow of Krzyżanowski Fund at the Jagiellonian University. This work was supported by the Research Fund at the University of Iceland.
- © Copyright 2010 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 362 (2010), 5321-5331
- MSC (2010): Primary 32U15; Secondary 32U20, 32E20
- DOI: https://doi.org/10.1090/S0002-9947-2010-05080-9
- MathSciNet review: 2657681