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

Hiep, Pham

doi:10.1090/S0002-9939-08-09043-6

On the convergence in capacity on compact Kahler manifolds and its applications
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by Pham Hoang Hiep PDF

Proc. Amer. Math. Soc. 136 (2008), 2007-2018 Request permission

Abstract:

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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