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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 <>
Submitted on : Sunday, November 29, 2020 - 3:44:13 PM
Last modification on : Tuesday, December 1, 2020 - 3:26:03 AM

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  • HAL Id : hal-03029931, version 1
  • ARXIV : 2011.14928

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Pascal Lefèvre, Daniel Li, Hervé Queffélec, Luis Rodríguez-Piazza. Boundedness of composition operators on general weighted Hardy spaces of analytic functions. 2020. ⟨hal-03029931⟩

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