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arXiv · 2610.40148

Compact and Hilbert-Schmidt composition operators on weighted Hardy spaces

Francisco J. Cruz-Zamorano·Eugenio Dellepiane·Daniel Seco
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Abstract

Lefèvre, Li, Queffélec, and Rodríguez-Piazza [12] recently characterized the sequences $β$ for which the weighted Hardy space $H^2(β)$ has the same bounded composition operators as the Hardy space $H^2$. We investigate the analogous questions for the compactness and the $p$-Schatten classes: for which sequences $β$ does the space $H^2(β)$ have the same compact or $p$-Schatten class composition operators as $H^2$?

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Francisco J. Cruz-Zamorano, Eugenio Dellepiane, Daniel Seco. 2026-10-29. Compact and Hilbert-Schmidt composition operators on weighted Hardy spaces. https://arxiv.org/abs/2610.40148

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