On the convergence in capacity on compact Kahler manifolds and its applications

The main aim of the present note is to study the convergence in C_{X,\omega } on a compact Kahler mainfold X. The obtained results are used to study global extremal functions and describe the \omega -pluripolar hull of an \omega -pluripolar subset in X.

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Veröffentlicht in:	Proceedings of the American Mathematical Society 2008-06, Vol.136 (6), p.2007-2018
1. Verfasser:	Hiep, Pham Hoang
Format:	Artikel
Sprache:	eng
Schlagworte:	Differential geometry Exact sciences and technology General mathematics General, history and biography Geometry Hypersurfaces Mathematical analysis Mathematical functions Mathematical manifolds Mathematics Sciences and techniques of general use Several complex variables and analytic spaces
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Beschreibung
Zusammenfassung:	The main aim of the present note is to study the convergence in C_{X,\omega } on a compact Kahler mainfold X. The obtained results are used to study global extremal functions and describe the \omega -pluripolar hull of an \omega -pluripolar subset in X.
ISSN:	0002-9939 1088-6826 1088-6826
DOI:	10.1090/S0002-9939-08-09043-6