Weighted pluripotential theory on compact Kähler manifolds

Maritza M. Branker, and Małgorzata Stawiska. "Weighted pluripotential theory on compact Kähler manifolds." Annales Polonici Mathematici 95.2 (2009): 163-177. <http://eudml.org/doc/281114>.

@article{MaritzaM2009,
abstract = {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.},
author = {Maritza M. Branker, Małgorzata Stawiska},
journal = {Annales Polonici Mathematici},
keywords = {weights; pluricomplex Green function; Kähler manifold; quasiplurisubharmonic functions},
language = {eng},
number = {2},
pages = {163-177},
title = {Weighted pluripotential theory on compact Kähler manifolds},
url = {http://eudml.org/doc/281114},
volume = {95},
year = {2009},
}

TY - JOUR
AU - Maritza M. Branker
AU - Małgorzata Stawiska
TI - Weighted pluripotential theory on compact Kähler manifolds
JO - Annales Polonici Mathematici
PY - 2009
VL - 95
IS - 2
SP - 163
EP - 177
AB - 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.
LA - eng
KW - weights; pluricomplex Green function; Kähler manifold; quasiplurisubharmonic functions
UR - http://eudml.org/doc/281114
ER -