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http://hdl.handle.net/2445/132424
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DC Field | Value | Language |
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dc.contributor.author | Carro Rossell, María Jesús | - |
dc.date.accessioned | 2019-04-26T10:13:13Z | - |
dc.date.available | 2019-04-26T10:13:13Z | - |
dc.date.issued | 2002 | - |
dc.identifier.issn | 0214-1493 | - |
dc.identifier.uri | http://hdl.handle.net/2445/132424 | - |
dc.description.abstract | Given a sublinear operator T satisfying that !Tf!Lp(ν) ≤ C p−1 !f!Lp(µ), for every 1 < p ≤ p0, with C independent of f and p, it was proved in [C] that sup r>0 ! ∞ 1/r λν T f (y) dy 1 + log+ r ! ' M |f(x)|(1 + log+ |f(x)|) dµ(x). This estimate implies that T : L log L → B, where B is a rearrangement invariant space. The purpose of this note is to give several characterizations of the space B and study its associate space. This last information allows us to formulate an extrapolation result of Zygmund type for linear operators satisfying !Tf!Lp(ν) ≤ Cp!f!Lp(µ), for every p ≥ p0. | - |
dc.format.extent | 11 p. | - |
dc.format.mimetype | application/pdf | - |
dc.language.iso | eng | - |
dc.publisher | Universitat Autònoma de Barcelona | - |
dc.relation.isformatof | Reproducció del document publicat a: https://doi.org/10.5565/PUBLMAT_Esco02_02 | - |
dc.relation.ispartof | Publicacions Matemàtiques, 2002, vol. Extra volume, num. , p. 27-37 | - |
dc.relation.uri | https://doi.org/10.5565/PUBLMAT_Esco02_02 | - |
dc.rights | (c) Universitat Autònoma de Barcelona, 2002 | - |
dc.source | Articles publicats en revistes (Matemàtiques i Informàtica) | - |
dc.subject.classification | Anàlisi harmònica | - |
dc.subject.classification | Teoria d'operadors | - |
dc.subject.other | Harmonic analysis | - |
dc.subject.other | Operator theory | - |
dc.title | On the range space of Yano's extrapolation theorem and new extrapolation estimates at infinity. | - |
dc.type | info:eu-repo/semantics/article | - |
dc.type | info:eu-repo/semantics/publishedVersion | - |
dc.identifier.idgrec | 510444 | - |
dc.date.updated | 2019-04-26T10:13:13Z | - |
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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510444.pdf | 227.39 kB | Adobe PDF | View/Open |
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