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

Abstract : We characterize the (essentially) decreasing sequences of positive numbers β = (β n) for which all composition operators on H 2 (β) are bounded, where H 2 (β) is the space of analytic functions f in the unit disk such that ∞ n=0 |c n | 2 β n < ∞ if f (z) = ∞ n=0 c n z n. We also give conditions for the boundedness when β is not assumed essentially decreasing.
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Preprints, Working Papers, ...
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https://hal-univ-artois.archives-ouvertes.fr/hal-03029931
Contributor : Daniel Li Connect in order to contact the contributor
Submitted on : Monday, March 14, 2022 - 4:44:40 PM
Last modification on : Saturday, May 7, 2022 - 3:35:15 AM

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  • HAL Id : hal-03029931, version 2
  • ARXIV : 2011.14928

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Daniel Li, Hervé Queffélec, Luis Rodríguez-Piazza, Pascal Lefèvre. Boundedness of composition operators on general weighted Hardy spaces of analytic functions. 2022. ⟨hal-03029931v2⟩

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