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dc.contributor.author
Kangwei, Li
dc.contributor.author
Martell, José María
dc.contributor.author
Ombrosi, Sheldy Javier
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dc.date.available
2020-09-16T12:57:52Z
dc.date.issued
2020-10-28
dc.identifier.citation
Kangwei, Li; Martell, José María; Ombrosi, Sheldy Javier; Extrapolation for multilinear Muckenhoupt classes and applications; Elsevier Science; Advances in Mathematics; 373; 28-10-2020; 107286
dc.identifier.issn
0001-8708
dc.identifier.uri
http://hdl.handle.net/11336/114071
dc.description.abstract
In this paper we solve a long standing problem about the multivariable Rubio de Francia extrapolation theorem for the multilinear Muckenhoupt classes , which were extensively studied by Lerner et al. and which are the natural ones for the class of multilinear Calderón-Zygmund operators as well as for some bilinear rough singular integral operators. Furthermore, we go beyond the classes and extrapolate within the classes which appear naturally associated to the weighted norm inequalities for multilinear sparse forms which control fundamental operators such as the bilinear Hilbert transform. We give several applications which can be easily obtained using extrapolation. First, weighted norm inequalities (scalar and vector-valued) for the bilinear rough singular integral operators are established. Second, for the bilinear Hilbert transform one can extrapolate from the recent result of Culiuc et al. who considered the Banach range, extend the estimates to the quasi-Banach range, and furthermore, prove trivially vector-valued inequalities. We also extend recent results of Carando et al. on Marcinkiewicz-Zygmund estimates for multilinear Calderón-Zygmund operators. Finally, our last application gives new weighted estimates (scalar and vector-valued) for the commutators of multilinear Calderón-Zygmund operators, bilinear rough singular integral operators, and for the bilinear Hilbert transform with BMO functions using ideas from Bényi et al.
dc.format
application/pdf
dc.language.iso
eng
dc.publisher
Elsevier Science
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dc.rights
info:eu-repo/semantics/restrictedAccess
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.subject
MULTILINEAR MUCKENHOUPT WEIGHTS
dc.subject
RUBIO DE FRANCIA EXTRAPOLATION
dc.subject
MULTILINEAR CALDERÓN-ZYGMUND OPERATORS
dc.subject.classification
Matemática Pura
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dc.subject.classification
Matemáticas
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dc.subject.classification
CIENCIAS NATURALES Y EXACTAS
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dc.title
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
2020-09-02T19:11:48Z
dc.journal.volume
373
dc.journal.pagination
107286
dc.journal.pais
Países Bajos
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dc.journal.ciudad
Amsterdam
dc.description.fil
Fil: Kangwei, Li. Tianjin University; China
dc.description.fil
Fil: Martell, José María. Instituto de Ciencias Matematicas CSIC-UAM-UC3M-UCM; España
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.journal.title
Advances in Mathematics
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dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/https://linkinghub.elsevier.com/retrieve/pii/S0001870820303121
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1016/j.aim.2020.107286
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