Geodesic
Convergence in capacity
Pham Hoang Hiep1
1 Department 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 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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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 
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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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