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dc.contributor.author
Li, Kangwei
dc.contributor.author
Martell, José María
dc.contributor.author
Martikainen, Henri
dc.contributor.author
Ombrosi, Sheldy Javier
dc.contributor.author
Vuorinen, Emil
dc.date.available
2021-03-28T23:12:19Z
dc.date.issued
2020-10-20
dc.identifier.citation
Li, Kangwei; Martell, José María; Martikainen, Henri; Ombrosi, Sheldy Javier; Vuorinen, Emil; End-point estimates, extrapolation for multilinear Muckenhoupt classes, and applications; American Mathematical Society; Transactions Of The American Mathematical Society; 374; 1; 20-10-2020; 97-135
dc.identifier.issn
0002-9947
dc.identifier.uri
http://hdl.handle.net/11336/129104
dc.description.abstract
In this paper we present the results announced in the recent work by the first, second, and fourth authors of the current paper concerning Rubio de Francia extrapolation for the so-called multilinear Muckenhoupt classes. Here we consider the situations where some of the exponents of the Lebesgue spaces appearing in the hypotheses and/or in the conclusion can be possibly infinity. The scheme we follow is similar, but, in doing so, we need to develop a one-variable end-point off-diagonal extrapolation result. This complements the corresponding ``finite'' case obtained by Duoandikoetxea, which was one of the main tools in the aforementioned paper. The second goal of this paper is to present some applications. For example, we obtain the full range of mixed-norm estimates for tensor products of bilinear Calderón-Zygmund operators with a proof based on extrapolation and on some estimates with weights in some mixed-norm classes. The same occurs with the multilinear Calderón-Zygmund operators, the bilinear Hilbert transform, and the corresponding commutators with BMO functions. Extrapolation along with the already established weighted norm inequalities easily give scalar and vector-valued inequalities with multilinear weights and these include the end-point cases.
dc.format
application/pdf
dc.language.iso
eng
dc.publisher
American Mathematical Society
dc.rights
info:eu-repo/semantics/restrictedAccess
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.subject
EXTRAPOLATION
dc.subject
MULTILINEAR
dc.subject
WEIGHTS
dc.subject.classification
Matemática Pura
dc.subject.classification
Matemáticas
dc.subject.classification
CIENCIAS NATURALES Y EXACTAS
dc.title
End-point estimates, extrapolation for multilinear Muckenhoupt classes, and applications
dc.type
info:eu-repo/semantics/article
dc.type
info:ar-repo/semantics/artículo
dc.type
info:eu-repo/semantics/publishedVersion
dc.date.updated
2020-12-04T14:44:51Z
dc.identifier.eissn
1088-6850
dc.journal.volume
374
dc.journal.number
1
dc.journal.pagination
97-135
dc.journal.pais
Estados Unidos
dc.description.fil
Fil: Li, Kangwei. Tianjin University; China
dc.description.fil
Fil: Martell, José María. Instituto de Ciencias Matemáticas CSIC-UAM-UC3M-UCM; España
dc.description.fil
Fil: Martikainen, Henri. University of Helsinki; Finlandia
dc.description.fil
Fil: Ombrosi, Sheldy Javier. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Bahía Blanca. Instituto de Matemática Bahía Blanca. Universidad Nacional del Sur. Departamento de Matemática. Instituto de Matemática Bahía Blanca; Argentina
dc.description.fil
Fil: Vuorinen, Emil. University of Lund; Suecia
dc.journal.title
Transactions Of The American Mathematical Society
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/https://www.ams.org/tran/0000-000-00/S0002-9947-2020-08172-0/
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1090/tran/8172
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