Relative extremal functions and characterization of pluripolar sets in complex manifolds

Armen Edigarian; Ragnar Sigurdsson

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

Relative extremal functions and characterization of pluripolar sets in complex manifolds

Armen Edigarian
, Ragnar Sigurdsson

Faculty of Physical Sciences

University of Iceland

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Pages (from-to)	5321-5331
Number of pages	11
Journal	Transactions of the American Mathematical Society
Volume	362
Issue number	10
DOIs	https://doi.org/10.1090/S0002-9947-2010-05080-9
Publication status	Published - Oct 2010

Other keywords

Analytic disc
Josefson manifold
Pluripolar set
Pluriregular set
Relative extremal function

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10.1090/S0002-9947-2010-05080-9

Cite this

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title = "Relative extremal functions and characterization of pluripolar sets in complex manifolds",

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.",

keywords = "Analytic disc, Josefson manifold, Pluripolar set, Pluriregular set, Relative extremal function",

author = "Armen Edigarian and Ragnar Sigurdsson",

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doi = "10.1090/S0002-9947-2010-05080-9",

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AB - 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.

KW - Analytic disc

KW - Josefson manifold

KW - Pluripolar set

KW - Pluriregular set

KW - Relative extremal function

UR - https://www.scopus.com/pages/publications/77956269758

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DO - 10.1090/S0002-9947-2010-05080-9

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JO - Transactions of the American Mathematical Society

JF - Transactions of the American Mathematical Society

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Relative extremal functions and characterization of pluripolar sets in complex manifolds

Abstract

Other keywords

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