Some estimates of the Bergman kernel of minimal bounded homogeneous domains

Details Some estimates of the Bergman kernel of minimal bounded homogeneous domains Some estimates of the Bergman kernel of minimal bounded homogeneous domains

2010-10-21

arxiv.org/abs/1010.4370v2

Mathematics

Functional Analysis

12 pages

Scientific paper

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.

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