Geodesic
Convergence in capacity
Pham Hoang Hiep1
1Department of Mathematics Hanoi University of Education (Dai Hoc Su Pham HaNoi) Cau Giay, Hanoi, VietNam
Annales Polonici Mathematici, Tome 93 (2008) no. 1, pp. 91-99

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

DOI

We prove that if ${\mathcal E}({\mit \Omega })\ni u_j\to u\in {\mathcal E}({\mit \Omega })$ in $C_n$-capacity then $\mathop {\rm lim\, inf}_{j\to \infty }(dd^cu_j)^n\geq 1_{\{ u>-\infty \} }(dd^cu)^n$. This result is used to consider the convergence in capacity on bounded hyperconvex domains and compact Kähler manifolds.
DOI : 10.4064/ap93-1-8
Keywords: prove mathcal mit omega mathcal mit omega n capacity mathop lim inf infty geq infty result consider convergence capacity bounded hyperconvex domains compact hler manifolds

Pham Hoang Hiep  1

1 Department of Mathematics Hanoi University of Education (Dai Hoc Su Pham HaNoi) Cau Giay, Hanoi, VietNam 
Pham Hoang Hiep. Convergence in capacity. Annales Polonici Mathematici, Tome 93 (2008) no. 1, pp. 91-99. doi: 10.4064/ap93-1-8
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