Some Estimates of the Bergman Kernel of Minimal Bounded Homogeneous Domains
Journal of Lie theory, Tome 21 (2011) no. 4, pp. 755-769
Cet article a éte moissonné depuis la source Heldermann Verlag
We describe the Bergman kernel of any bounded homogeneous domain in a minimal realization relating to the Bergman kernels of the Siegel disks. Taking advantage of this expression, we obtain substantial estimates of the Bergman kernel of the homogeneous domain.
Classification :
32A25, 32H02, 32M10
Mots-clés : Bounded homogeneous domain, Bergman kernel, minimal domain, Siegel domain
Mots-clés : Bounded homogeneous domain, Bergman kernel, minimal domain, Siegel domain
@article{JLT_2011_21_4_JLT_2011_21_4_a0,
author = {H. Ishi and S. Yamaji },
title = {Some {Estimates} of the {Bergman} {Kernel} of {Minimal} {Bounded} {Homogeneous} {Domains}},
journal = {Journal of Lie theory},
pages = {755--769},
year = {2011},
volume = {21},
number = {4},
url = {http://geodesic.mathdoc.fr/item/JLT_2011_21_4_JLT_2011_21_4_a0/}
}
H. Ishi; S. Yamaji . Some Estimates of the Bergman Kernel of Minimal Bounded Homogeneous Domains. Journal of Lie theory, Tome 21 (2011) no. 4, pp. 755-769. http://geodesic.mathdoc.fr/item/JLT_2011_21_4_JLT_2011_21_4_a0/