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http://hdl.handle.net/2445/140062
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DC Field | Value | Language |
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dc.contributor.author | Boza, Santiago | - |
dc.contributor.author | Soria de Diego, F. Javier | - |
dc.date.accessioned | 2019-09-16T10:49:11Z | - |
dc.date.available | 2019-09-16T10:49:11Z | - |
dc.date.issued | 2018-06-08 | - |
dc.identifier.issn | 0013-0915 | - |
dc.identifier.uri | http://hdl.handle.net/2445/140062 | - |
dc.description.abstract | We study several questions about the weak-type boundedness of the Fourier transform ℱ on rearrangement invariant spaces. In particular, we characterize the action of ℱ as a bounded operator from the minimal Lorentz space Λ(X) into the Marcinkiewicz maximal space M(X), both associated with a rearrangement invariant space X. Finally, we also prove some results establishing that the weak-type boundedness of ℱ, in certain weighted Lorentz spaces, is equivalent to the corresponding strong-type estimates. | - |
dc.format.extent | 12 p. | - |
dc.format.mimetype | application/pdf | - |
dc.language.iso | eng | - |
dc.publisher | Cambridge University Press | - |
dc.relation.isformatof | Versió postprint del document publicat a: https://doi.org/10.1017/S0013091518000032 | - |
dc.relation.ispartof | Proceedings of the Edinburgh Mathematical Society, 2018, vol. 61, num. 3, p. 879-890 | - |
dc.relation.uri | https://doi.org/10.1017/S0013091518000032 | - |
dc.rights | (c) Edinburgh Mathematical Society, 2018 | - |
dc.source | Articles publicats en revistes (Matemàtiques i Informàtica) | - |
dc.subject.classification | Transformacions de Fourier | - |
dc.subject.classification | Espais de Lorentz | - |
dc.subject.other | Fourier transformations | - |
dc.subject.other | Lorentz spaces | - |
dc.title | Weak-type boundedness of the Fourier transform on rearrangement invariant function spaces | - |
dc.type | info:eu-repo/semantics/article | - |
dc.type | info:eu-repo/semantics/acceptedVersion | - |
dc.identifier.idgrec | 671450 | - |
dc.date.updated | 2019-09-16T10:49:12Z | - |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | - |
Appears in Collections: | Articles publicats en revistes (Matemàtiques i Informàtica) |
Files in This Item:
File | Description | Size | Format | |
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671450.pdf | 306 kB | Adobe PDF | View/Open |
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