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dc.contributor.author
Cao, Mingming
dc.contributor.author
Hormozi, Mahdi
dc.contributor.author
Ibañez Firnkorn, Gonzalo Hugo
dc.contributor.author
Rivera Ríos, Israel Pablo
dc.contributor.author
Si, Zengyan
dc.contributor.author
Yabuta, Kôzô
dc.date.available
2023-05-09T13:42:22Z
dc.date.issued
2021-07-09
dc.identifier.citation
Cao, Mingming; Hormozi, Mahdi; Ibañez Firnkorn, Gonzalo Hugo; Rivera Ríos, Israel Pablo; Si, Zengyan; et al.; Weak and Strong Type Estimates for the Multilinear Littlewood–Paley Operators; Springer; Journal Of Fourier Analysis And Applications; 27; 62; 9-7-2021; 1-34
dc.identifier.issn
1069-5869
dc.identifier.uri
http://hdl.handle.net/11336/196783
dc.description.abstract
Let Sα be the multilinear square function defined on the cone with aperture α≥ 1. In this paper, we investigate several kinds of weighted norm inequalities for Sα. We first obtain a sharp weighted estimate in terms of aperture α and w→ ∈ Ap→. By means of some pointwise estimates, we also establish two-weight inequalities including bump and entropy bump estimates, and Fefferman–Stein inequalities with arbitrary weights. Beyond that, we consider the mixed weak type estimates corresponding Sawyer’s conjecture, for which a Coifman–Fefferman inequality with the precise A∞ norm is proved. Finally, we present the local decay estimates using the extrapolation techniques and dyadic analysis respectively. All the conclusions aforementioned hold for the Littlewood–Paley gλ∗ function. Some results are new even in the linear case.
dc.format
application/pdf
dc.language.iso
eng
dc.publisher
Springer
dc.rights
info:eu-repo/semantics/restrictedAccess
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.subject
BUMP CONJECTURES
dc.subject
LOCAL DECAY ESTIMATES
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MIXED WEAK TYPE ESTIMATES
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MULTILINEAR SQUARE FUNCTIONS
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SHARP APERTURE DEPENDENCE
dc.subject.classification
Matemática Pura
dc.subject.classification
Matemáticas
dc.subject.classification
CIENCIAS NATURALES Y EXACTAS
dc.title
Weak and Strong Type Estimates for the Multilinear Littlewood–Paley Operators
dc.type
info:eu-repo/semantics/article
dc.type
info:ar-repo/semantics/artículo
dc.type
info:eu-repo/semantics/publishedVersion
dc.date.updated
2023-05-02T23:01:03Z
dc.journal.volume
27
dc.journal.number
62
dc.journal.pagination
1-34
dc.journal.pais
Suiza
dc.journal.ciudad
Cham
dc.description.fil
Fil: Cao, Mingming. Consejo Superior de Investigaciones Científicas; España
dc.description.fil
Fil: Hormozi, Mahdi. Institute for Research in Fundamental Sciences ; Irán
dc.description.fil
Fil: Ibañez Firnkorn, Gonzalo Hugo. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Córdoba. Centro de Investigación y Estudios de Matemática. Universidad Nacional de Córdoba. Centro de Investigación y Estudios de Matemática; Argentina. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física; Argentina
dc.description.fil
Fil: Rivera Ríos, Israel Pablo. 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: Si, Zengyan. Henan Polytechnic University; China
dc.description.fil
Fil: Yabuta, Kôzô. Kwansei Gakuin University; Japón
dc.journal.title
Journal Of Fourier Analysis And Applications
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1007/s00041-021-09870-x
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/arxiv/https://arxiv.org/abs/2009.13814
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