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

Published 7 May 2011 in math.FA | (1105.1416v1)

Abstract: 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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Authors (1)

Satoshi Yamaji

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