$\omega$-pluripolar sets and subextension of $\omega$-plurisubharmonic functions on compact Kähler manifolds
Volume 91 / 2007
Annales Polonici Mathematici 91 (2007), 25-41
MSC: Primary 32W20; Secondary 32Q15.
DOI: 10.4064/ap91-1-3
Abstract
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.
