ω-pluripolar sets and subextension of ω-plurisubharmonic functions on compact Kähler manifolds

Le Mau Hai, Nguyen Van Khue, and Pham Hoang Hiep. "ω-pluripolar sets and subextension of ω-plurisubharmonic functions on compact Kähler manifolds." Annales Polonici Mathematici 91.1 (2007): 25-41. <http://eudml.org/doc/280940>.

@article{LeMauHai2007,
abstract = {We establish some results on ω-pluripolarity and complete ω-pluripolarity for sets in a compact Kähler manifold X with fundamental form ω. Moreover, we study subextension of ω-psh functions on a hyperconvex domain in X and prove a comparison principle for the class 𝓔(X,ω) recently introduced and investigated by Guedj-Zeriahi.},
author = {Le Mau Hai, Nguyen Van Khue, Pham Hoang Hiep},
journal = {Annales Polonici Mathematici},
keywords = {-plurisubharmonic; Kähler manifold; -pluripolar set},
language = {eng},
number = {1},
pages = {25-41},
title = {ω-pluripolar sets and subextension of ω-plurisubharmonic functions on compact Kähler manifolds},
url = {http://eudml.org/doc/280940},
volume = {91},
year = {2007},
}

TY - JOUR
AU - Le Mau Hai
AU - Nguyen Van Khue
AU - Pham Hoang Hiep
TI - ω-pluripolar sets and subextension of ω-plurisubharmonic functions on compact Kähler manifolds
JO - Annales Polonici Mathematici
PY - 2007
VL - 91
IS - 1
SP - 25
EP - 41
AB - We establish some results on ω-pluripolarity and complete ω-pluripolarity for sets in a compact Kähler manifold X with fundamental form ω. Moreover, we study subextension of ω-psh functions on a hyperconvex domain in X and prove a comparison principle for the class 𝓔(X,ω) recently introduced and investigated by Guedj-Zeriahi.
LA - eng
KW - -plurisubharmonic; Kähler manifold; -pluripolar set
UR - http://eudml.org/doc/280940
ER -