1Department of Mathematics Niagara University Niagara University, NY 14109, U.S.A. 2DFG 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
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.
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
Affiliations des auteurs :
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.
@article{10_4064_ap95_2_7,
author = {Maritza M. Branker and Ma/lgorzata Stawiska},
title = {Weighted pluripotential theory on
compact {K\"ahler} manifolds},
journal = {Annales Polonici Mathematici},
pages = {163--177},
year = {2009},
volume = {95},
number = {2},
doi = {10.4064/ap95-2-7},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/ap95-2-7/}
}
TY - JOUR
AU - Maritza M. Branker
AU - Ma/lgorzata Stawiska
TI - Weighted pluripotential theory on
compact Kähler manifolds
JO - Annales Polonici Mathematici
PY - 2009
SP - 163
EP - 177
VL - 95
IS - 2
UR - http://geodesic.mathdoc.fr/articles/10.4064/ap95-2-7/
DO - 10.4064/ap95-2-7
LA - en
ID - 10_4064_ap95_2_7
ER -
%0 Journal Article
%A Maritza M. Branker
%A Ma/lgorzata Stawiska
%T Weighted pluripotential theory on
compact Kähler manifolds
%J Annales Polonici Mathematici
%D 2009
%P 163-177
%V 95
%N 2
%U http://geodesic.mathdoc.fr/articles/10.4064/ap95-2-7/
%R 10.4064/ap95-2-7
%G en
%F 10_4064_ap95_2_7
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
