Estimates for the Bergman kernel and metric of convex domains in ℂⁿ

@article{NikolaiNikolov2003,
abstract = {Sharp geometrical lower and upper estimates are obtained for the Bergman kernel on the diagonal of a convex domain D ⊂ ℂⁿ which does not contain complex lines. It is also proved that the ratio of the Bergman and Carathéodory metrics of D does not exceed a constant depending only on n.},
author = {Nikolai Nikolov, Peter Pflug},
journal = {Annales Polonici Mathematici},
keywords = {Bergman kernel; Bergman metric; convex domain},
language = {eng},
number = {1},
pages = {73-78},
title = {Estimates for the Bergman kernel and metric of convex domains in ℂⁿ},
url = {http://eudml.org/doc/281009},
volume = {81},
year = {2003},
}

TY - JOUR
AU - Nikolai Nikolov
AU - Peter Pflug
TI - Estimates for the Bergman kernel and metric of convex domains in ℂⁿ
JO - Annales Polonici Mathematici
PY - 2003
VL - 81
IS - 1
SP - 73
EP - 78
AB - Sharp geometrical lower and upper estimates are obtained for the Bergman kernel on the diagonal of a convex domain D ⊂ ℂⁿ which does not contain complex lines. It is also proved that the ratio of the Bergman and Carathéodory metrics of D does not exceed a constant depending only on n.
LA - eng
KW - Bergman kernel; Bergman metric; convex domain
UR - http://eudml.org/doc/281009
ER -