Composition operators on the Bergman spaces of a minimal bounded homogeneous domain

Details Composition operators on the Bergman spaces of a minimal bounded homogeneous domain Composition operators on the Bergman spaces of a minimal bounded homogeneous domain

2011-05-07

arxiv.org/abs/1105.1416v1

Mathematics

Functional Analysis

17 pages

Scientific paper

Using an integral formula on a homogeneous Siegel domain, we show a necessary
and sufficient condition for composition operators on the weighted Bergman
space of a minimal bounded homogeneous domain to be compact. To describe the
compactness of composition operators, we see a boundary behavior of the Bergman
kernel.

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