Geodesic
Weighted pluripotential theory on compact Kähler manifolds
Maritza M. Branker1 ; Ma/lgorzata Stawiska2
1 Department of Mathematics Niagara University Niagara University, NY 14109, U.S.A.
2 DFG Research Center Matheon Technische Universität Berlin Berlin, Germany and Department of Mathematics University of Kansas Lawrence, KS 66045-7523, U.S.A.
Annales Polonici Mathematici, Tome 95 (2009) no. 2, pp. 163-177

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

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.
DOI : 10.4064/ap95-2-7
Keywords: introduce weighted version pluripotential theory compact hler manifolds developed guedj zeriahi appropriate definition weighted pluricomplex green function its basic properties consider its behavior under holomorphic maps develop homogeneous version weighted theory establish generalization siciaks h principle

Maritza M. Branker 1 ; Ma/lgorzata Stawiska 2

1 Department of Mathematics Niagara University Niagara University, NY 14109, U.S.A.
2 DFG Research Center Matheon Technische Universität Berlin Berlin, Germany and Department of Mathematics University of Kansas Lawrence, KS 66045-7523, U.S.A. 
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Maritza M. Branker; Ma/lgorzata Stawiska. Weighted pluripotential theory on
 compact Kähler manifolds. Annales Polonici Mathematici, Tome 95 (2009) no. 2, pp. 163-177. doi: 10.4064/ap95-2-7

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