Geodesic
$\omega$-pluripolar sets and subextension of $\omega$-plurisubharmonic functions on compact Kähler manifolds
Le Mau Hai1 ; Nguyen Van Khue1 ; Pham Hoang Hiep1
1 Department of Mathematics Hanoi University of Education (Dai hoc Su Pham Hanoi) Tuliem, Ha Noi, Vietnam
Annales Polonici Mathematici, Tome 91 (2007) no. 1, pp. 25-41.

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We establish some results on $\omega$-pluripolarity and complete $\omega$-pluripolarity for sets in a compact Kähler manifold $X$ with fundamental form $\omega$. Moreover, we study subextension of $\omega$-psh functions on a hyperconvex domain in $X$ and prove a comparison principle for the class $\mathcal{E}(X,\omega)$ recently introduced and investigated by Guedj–Zeriahi.
DOI : 10.4064/ap91-1-3
Keywords: establish results omega pluripolarity complete omega pluripolarity sets compact hler manifold fundamental form omega moreover study subextension omega psh functions hyperconvex domain prove comparison principle class mathcal omega recently introduced investigated guedj zeriahi

Le Mau Hai 1 ; Nguyen Van Khue 1 ; Pham Hoang Hiep 1

1 Department of Mathematics Hanoi University of Education (Dai hoc Su Pham Hanoi) Tuliem, Ha Noi, Vietnam 
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Le Mau Hai; Nguyen Van Khue; Pham Hoang Hiep. $\omega$-pluripolar sets and subextension of
 $\omega$-plurisubharmonic functions
on compact Kähler manifolds. Annales Polonici Mathematici, Tome 91 (2007) no. 1, pp. 25-41. doi : 10.4064/ap91-1-3. http://geodesic.mathdoc.fr/articles/10.4064/ap91-1-3/

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