arXiv 0801.30152008-01math.CV

Weighted pluripotential theory on complex Kähler manifolds

Maritza M. Branker, Malgorzata Stawiska

备注：: Corrected proof of the domination principle, some notation uniformized, new references added
发表信息：: Ann. Polon. Math. 95, 2009, no. 2, 163-177

英文摘要：

We introduce a weighted version of the pluripotential theory on complex Kähler 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.

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