Abstract
We show that if $C_\varphi$ is a Hilbert-Schmidt composition operator on an appropriately weighted Hardy space, then there exists a capacity, associated to the weight sequence of the space, so that the set on which the radial limit of $\varphi$ is unimodular has capacity zero. This extends recent results by Gallardo-Gutiérrez and González.
Citation
Themis Mitsis. "Note on Hilbert-Schmidt composition operators on weighted Hardy spaces." Bull. Belg. Math. Soc. Simon Stevin 13 (4) 739 - 742, December 2006. https://doi.org/10.36045/bbms/1168957349
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