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DC Field | Value | Language |
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dc.contributor.author | Miihkinen, Santeri | - |
dc.contributor.author | Pau, Jordi | - |
dc.contributor.author | Perälä, Antti | - |
dc.contributor.author | Wang, Mao Fa | - |
dc.date.accessioned | 2023-02-24T18:33:21Z | - |
dc.date.available | 2023-02-24T18:33:21Z | - |
dc.date.issued | 2020-09-01 | - |
dc.identifier.issn | 0022-1236 | - |
dc.identifier.uri | http://hdl.handle.net/2445/194160 | - |
dc.description.abstract | We completely characterize the boundedness of the Volterra type integration operators $J_b$ acting from the weighted Bergman spaces $A_\alpha^p$ to the Hardy spaces $H^q$ of the unit ball of $\mathbb{C}^n$ for all $0<p, q<\infty$. A partial solution to the case $n=1$ was previously obtained by Z. Wu in [35]. We solve the cases left open there and extend all the results to the setting of arbitrary complex dimension $n$. Our tools involve area methods from harmonic analysis, Carleson measures and Kahane-Khinchine type inequalities, factorization tricks for tent spaces of sequences, as well as techniques and integral estimates related to Hardy and Bergman spaces. | - |
dc.format.mimetype | application/pdf | - |
dc.language.iso | eng | - |
dc.publisher | Elsevier | - |
dc.relation.isformatof | Versió postprint del document publicat a: https://doi.org/10.1016/j.jfa.2020.108564 | - |
dc.relation.ispartof | Journal of Functional Analysis, 2020, vol. 279, num. 4 | - |
dc.relation.uri | https://doi.org/10.1016/j.jfa.2020.108564 | - |
dc.rights | cc-by-nc-nd (c) Elsevier, 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 | Espais funcionals | - |
dc.subject.classification | Teoria d'operadors | - |
dc.subject.classification | Funcions de diverses variables complexes | - |
dc.subject.classification | Espais analítics | - |
dc.subject.other | Function spaces | - |
dc.subject.other | Operator theory | - |
dc.subject.other | Functions of several complex variables | - |
dc.subject.other | Analytic spaces | - |
dc.title | Volterra type integration operators from Bergman spaces to Hardy spaces | - |
dc.type | info:eu-repo/semantics/article | - |
dc.type | info:eu-repo/semantics/acceptedVersion | - |
dc.identifier.idgrec | 710156 | - |
dc.date.updated | 2023-02-24T18:33:22Z | - |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | - |
Appears in Collections: | Articles publicats en revistes (Matemàtiques i Informàtica) |
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