Weighted pluripotential theory on compact Kähler manifolds

Tom 95 / 2009

Maritza M. Branker, Ma/lgorzata Stawiska Annales Polonici Mathematici 95 (2009), 163-177 MSC: Primary 32U35; Secondary 32U05, 32L05. DOI: 10.4064/ap95-2-7

Streszczenie

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.

Autorzy

  • Maritza M. BrankerDepartment of Mathematics
    Niagara University
    Niagara University, NY 14109, U.S.A.
    e-mail
  • Ma/lgorzata StawiskaDFG Research Center Matheon
    Technische Universität Berlin
    Berlin, Germany
    and
    Department of Mathematics
    University of Kansas
    Lawrence, KS 66045-7523, U.S.A.
    e-mail

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