Hilbert-Schmidt composition-differentiation operators on the unit ball

2023/08/29 by Abkar, Ali
#32A25 #47B32 #47B33 #FOS: Mathematics #Functional Analysis (math.FA)

paper · doi:10.48550/arxiv.2308.15045

Abstract

We use the notion of radial derivative to introduce composition-differentiation operators on the Hardy and Bergman spaces of the unit ball and the polydisk. We seek for necessary and sufficient conditions on the inducing functions to ensure that the composition-differentiation operator is Hilbert-Schmidt.

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