Weighted pluripotential theory on compact Kähler manifolds

• Autorzy: Maritza M. Branker , Małgorzata Stawiska
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 32L05: Holomorphic bundles and generalizations
• 32U35: Pluricomplex Green functions
• 32U05: Plurisubharmonic functions and generalizations

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 2009
• Tom: 95
• Numer: 2
• Strony: 163-177

Daty

wydano

2009

Twórcy

autor

Maritza M. Branker

• Department of Mathematics, Niagara University, Niagara University, NY 14109, U.S.A.

autor

Małgorzata Stawiska

• DFG Research Center Matheon, Technische Universität Berlin, Berlin, Germany
• Department of Mathematics, University of Kansas, Lawrence, KS 66045-7523, U.S.A.

Identyfikatory

DOI

10.4064/ap95-2-7