On the Bergman distance on model domains in ℂⁿ

Gregor Herbort. "On the Bergman distance on model domains in ℂⁿ." Annales Polonici Mathematici 116.1 (2016): 1-36. <http://eudml.org/doc/281011>.

@article{GregorHerbort2016,
abstract = {Let P be a real-valued and weighted homogeneous plurisubharmonic polynomial in $ℂ^\{n-1\}$ and let D denote the “model domain” z ∈ ℂⁿ | r(z):= Re z₁ + P(z’) < 0. We prove a lower estimate on the Bergman distance of D if P is assumed to be strongly plurisubharmonic away from the coordinate axes.},
author = {Gregor Herbort},
journal = {Annales Polonici Mathematici},
keywords = {Bergman distance; plurisubharmonic weights; weighted homogeneous model domains},
language = {eng},
number = {1},
pages = {1-36},
title = {On the Bergman distance on model domains in ℂⁿ},
url = {http://eudml.org/doc/281011},
volume = {116},
year = {2016},
}

TY - JOUR
AU - Gregor Herbort
TI - On the Bergman distance on model domains in ℂⁿ
JO - Annales Polonici Mathematici
PY - 2016
VL - 116
IS - 1
SP - 1
EP - 36
AB - Let P be a real-valued and weighted homogeneous plurisubharmonic polynomial in $ℂ^{n-1}$ and let D denote the “model domain” z ∈ ℂⁿ | r(z):= Re z₁ + P(z’) < 0. We prove a lower estimate on the Bergman distance of D if P is assumed to be strongly plurisubharmonic away from the coordinate axes.
LA - eng
KW - Bergman distance; plurisubharmonic weights; weighted homogeneous model domains
UR - http://eudml.org/doc/281011
ER -