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Accepted version

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2020

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cc-by-nc-nd (c) American Mathematical Society (AMS), 2020
Please use this identifier to cite or link to this item: https://hdl.handle.net/2445/194164

A Toeplitz-type operator on Hardy spaces in the unit ball

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https://doi.org/10.1090/tran/8053

Abstract

We study a Toeplitz-type operator $Q_\mu$ between the holomorphic Hardy spaces $H^p$ and $H^q$ of the unit ball. Here the generating symbol $\mu$ is assumed to be a positive Borel measure. This kind of operator is related to many classical mappings acting on Hardy spaces, such as composition operators, the Volterra-type integration operators, and Carleson embeddings. We completely characterize the boundedness and compactness of $Q_\mu: H^p \rightarrow H^q$ for the full range $1

Subject

Funcions de diverses variables complexes, Funcions holomorfes, Espais de Hardy, Teoria d'operadors

Subject (English)

Functions of several complex variables, Holomorphic functions, Hardy spaces, Operator theory

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Articles publicats en revistes (Matemàtiques i Informàtica)

Citation

PAU, Jordi and PERÄLÄ, Antti. A Toeplitz-type operator on Hardy spaces in the unit ball. Transactions of the American Mathematical Society. 2020. Vol. 373, num. 5, pags. 3031-3062. ISSN 0002-9947. [consulted: 15 of August of 2026]. Available at: https://hdl.handle.net/2445/194164

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