WOLFF’S IDEAL THEOREM ON ANALYTIC BESOV-TYPE SPACE AND ITS MÖBIUS INVARIANT SUBSPACE

Wenwan Yang; Cheng Yuan

doi:10.1216/rmj.2023.53.1327

Abstract

For $0 < s < 1 < p < \infty$ , we prove Wolff’s ideal theorem for the multiplier algebra of the Besov type space $B_p (s)$ , denoted ${\mathcal M}(B_p (s))$ ; the multiplier algebra of the Möbius invariant space $F(p,p - 2,s)$ , denoted ${\mathcal M}(F(p,p - 2,s))$ ; and $H^\infty \mathop \cap \nolimits^ F(p,p - 2,s)$ .

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Wenwan Yang. Cheng Yuan. "WOLFF’S IDEAL THEOREM ON ANALYTIC BESOV-TYPE SPACE AND ITS MÖBIUS INVARIANT SUBSPACE." Rocky Mountain J. Math. 53 (4) 1327 - 1336, August 2023. https://doi.org/10.1216/rmj.2023.53.1327

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Received: 5 January 2022; Revised: 7 September 2022; Accepted: 8 September 2022; Published: August 2023

First available in Project Euclid: 30 August 2023

MathSciNet: MR4635005

Digital Object Identifier: 10.1216/rmj.2023.53.1327

Subjects:

Primary: ‎30H05 , 30H25 , 30H80

Keywords: analytic Besov-type spaces , Carleson measures , corona Theorem , F(p,p−2,2) spaces , Wolff’s ideal theorem

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