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DC Field | Value | Language |
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dc.contributor.author | Pau, Jordi | - |
dc.contributor.author | Perälä, Antti | - |
dc.date.accessioned | 2023-02-24T18:52:18Z | - |
dc.date.available | 2023-02-24T18:52:18Z | - |
dc.date.issued | 2020 | - |
dc.identifier.issn | 0002-9947 | - |
dc.identifier.uri | http://hdl.handle.net/2445/194164 | - |
dc.description.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 $1<p, q<\infty$; and also describe the membership in the Schatten classes of $H^2$. In the last section of the paper, we demonstrate the usefulness of $Q_\mu$ through applications. | - |
dc.format.extent | 32 p. | - |
dc.format.mimetype | application/pdf | - |
dc.language.iso | eng | - |
dc.publisher | American Mathematical Society (AMS) | - |
dc.relation.isformatof | Versió postprint del document publicat a: https://doi.org/10.1090/tran/8053 | - |
dc.relation.ispartof | Transactions of the American Mathematical Society, 2020, vol. 373, num. 5, p. 3031-3062 | - |
dc.relation.uri | https://doi.org/10.1090/tran/8053 | - |
dc.rights | cc-by-nc-nd (c) American Mathematical Society (AMS), 2020 | - |
dc.rights.uri | https://creativecommons.org/licenses/by-nc-nd/4.0/ | - |
dc.source | Articles publicats en revistes (Matemàtiques i Informàtica) | - |
dc.subject.classification | Funcions de diverses variables complexes | - |
dc.subject.classification | Funcions holomorfes | - |
dc.subject.classification | Espais de Hardy | - |
dc.subject.classification | Teoria d'operadors | - |
dc.subject.other | Functions of several complex variables | - |
dc.subject.other | Holomorphic functions | - |
dc.subject.other | Hardy spaces | - |
dc.subject.other | Operator theory | - |
dc.title | A Toeplitz-type operator on Hardy spaces in the unit ball | - |
dc.type | info:eu-repo/semantics/article | - |
dc.type | info:eu-repo/semantics/acceptedVersion | - |
dc.identifier.idgrec | 699972 | - |
dc.date.updated | 2023-02-24T18:52:18Z | - |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | - |
Appears in Collections: | Articles publicats en revistes (Matemàtiques i Informàtica) |
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699972.pdf | 459.65 kB | Adobe PDF | View/Open |
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