%0 Journal Article %T Weighted pluripotential theory on complex K£¿hler manifolds %A Maritza M. Branker %A Malgorzata Stawiska %J Mathematics %D 2008 %I arXiv %X We introduce a weighted version of the pluripotential theory on complex K\"{a}hler manifolds developed by Guedj and Zeriahi. We give the appropriate definition of a weighted pluricomplex Green function, its basic properties and consider its behaviour under holomorphic maps. We also establish a generalization of Siciak's H-principle. %U http://arxiv.org/abs/0801.3015v2