Szegö’s Theorem on Hardy Spaces Induced by Rotation-Invariant Borel Measures

Kunyu Guo () and Qi Zhou ()
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Kunyu Guo: School of Mathematical Sciences, Fudan University
Qi Zhou: School of Mathematical Sciences, Fudan University

A chapter in Multivariable Operator Theory, 2023, pp 445-468 from Springer

Abstract: Abstract It is shown in this paper that under a mild condition, an analogous version of Szegö’s theorem on Hardy spaces induced by rotation-invariant measures on the closed unit disk is true. This leads to a natural connection between cyclic vectors on these spaces and function-theoretic invariants involving these spaces.

Keywords: Szegö’s theorem; Cyclic vectors; Hardy space; Rotation-invariant Borel measure; 30H10; 47A16; 60B05 (search for similar items in EconPapers)
Date: 2023
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-031-50535-5_17

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DOI: 10.1007/978-3-031-50535-5_17

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