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arXiv · 2011.14928

Boundedness of composition operators on general weighted Hardy spaces of analytic functions

Pascal Lefèvre·Daniel Li·Hervé Queffélec·Luis Rodríguez-Piazza
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Abstract

We characterize the (essentially) decreasing sequences of positive numbers $\beta$ = ($\beta$ n) for which all composition operators on H 2 ($\beta$) are bounded, where H 2 ($\beta$) is the space of analytic functions f in the unit disk such that $\infty$ n=0 |c n | 2 $\beta$ n < $\infty$ if f (z) = $\infty$ n=0 c n z n. We also give conditions for the boundedness when $\beta$ is not assumed essentially decreasing.

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Pascal Lefèvre, Daniel Li, Hervé Queffélec, Luis Rodríguez-Piazza. 2020-11-30. Boundedness of composition operators on general weighted Hardy spaces of analytic functions. https://arxiv.org/abs/2011.14928

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