Weighted pluripotential theory on compact Kähler manifolds
Volume 95 / 2009
Annales Polonici Mathematici 95 (2009), 163-177
MSC: Primary 32U35; Secondary 32U05, 32L05.
DOI: 10.4064/ap95-2-7
Abstract
We introduce a weighted version of the pluripotential theory on compact Kähler manifolds developed by Guedj and Zeriahi. We give the appropriate definition of a weighted pluricomplex Green function, its basic properties and consider its behavior under holomorphic maps. We also develop a homogeneous version of the weighted theory and establish a generalization of Siciak's H-principle.
