Journal of Lie Theory

no. 4
Some Estimates of the Bergman Kernel of Minimal Bounded Homogeneous Domains
Hideyuki Ishi1; Satoshi Yamaji1
1Graduate School of Mathematics, Nagoya University, Furo-cho, Chikusa-ku, Nagoya 464-8602, Japan
Journal of Lie Theory, Volume 21 (2011) no. 4, pp. 755-769
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.
DOI: 10.5802/jolt.647
Classification: 32A25, 32H02, 32M10
Keywords: Bounded homogeneous domain, Bergman kernel, minimal domain, Siegel domain

Hideyuki Ishi  1 ; Satoshi Yamaji  1

1 Graduate School of Mathematics, Nagoya University, Furo-cho, Chikusa-ku, Nagoya 464-8602, Japan 
Hideyuki Ishi; Satoshi Yamaji. Some Estimates of the Bergman Kernel of Minimal Bounded Homogeneous Domains. Journal of Lie Theory, Volume 21 (2011) no. 4, pp. 755-769. doi: 10.5802/jolt.647
@article{JOLT_2011_21_4_a0,
     author = {Hideyuki Ishi and Satoshi 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},
     doi = {10.5802/jolt.647},
     zbl = {1235.32003},
     url = {https://jolt.centre-mersenne.org/articles/10.5802/jolt.647/}
}
TY  - JOUR
AU  - Hideyuki Ishi
AU  - Satoshi Yamaji
TI  - Some Estimates of the Bergman Kernel of Minimal Bounded Homogeneous Domains
JO  - Journal of Lie Theory
PY  - 2011
SP  - 755
EP  - 769
VL  - 21
IS  - 4
UR  - https://jolt.centre-mersenne.org/articles/10.5802/jolt.647/
DO  - 10.5802/jolt.647
ID  - JOLT_2011_21_4_a0
ER  - 
%0 Journal Article
%A Hideyuki Ishi
%A Satoshi Yamaji
%T Some Estimates of the Bergman Kernel of Minimal Bounded Homogeneous Domains
%J Journal of Lie Theory
%D 2011
%P 755-769
%V 21
%N 4
%U https://jolt.centre-mersenne.org/articles/10.5802/jolt.647/
%R 10.5802/jolt.647
%F JOLT_2011_21_4_a0

Cited by Sources: