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dc.contributor.author
Kangwei, Li
dc.contributor.author
Ombrosi, Sheldy Javier
dc.contributor.author
Pérez, Carlos
dc.date.available
2019-10-10T18:35:14Z
dc.date.issued
2019-06
dc.identifier.citation
Kangwei, Li; Ombrosi, Sheldy Javier; Pérez, Carlos; Proof of an extension of E. Sawyer’s conjecture about weighted mixed weak-type estimates; Springer Heidelberg; Mathematische Annalen; 374; 1-2; 6-2019; 907-929
dc.identifier.issn
0025-5831
dc.identifier.uri
http://hdl.handle.net/11336/85566
dc.description.abstract
We show that if v∈ A∞ and u∈ A1, then there is a constant c depending on the A1 constant of u and the A∞ constant of v such that ∥T(fv)v∥L1,∞(uv)≤c‖f‖L1(uv),where T can be the Hardy–Littlewood maximal function or any Calderón–Zygmund operator. This result was conjectured in Cruz-Uribe et al. (Int Math Res Not 30:1849–1871, 2005) and constitutes the most singular case of some extensions of several problems proposed by Sawyer and Muckenhoupt and Wheeden. We also improve and extends several quantitative estimates.
dc.description.abstract
We show that if v∈A∞ and u∈A1 , then there is a constant c depending on the A1 constant of u and the A∞ constant of v such that T ( f v) v L1,∞(uv) ≤ c f L1(uv), where T can be the Hardy–Littlewood maximal function or any Calderón–Zygmund operator. This result was conjectured in Cruz-Uribe et al. (Int Math Res Not 30:1849–1871, 2005) and constitutes the most singular case of some extensions of several problems proposed by Sawyer and Muckenhoupt and Wheeden. We also improve and extends several quantitative estimates.
dc.format
application/pdf
dc.language.iso
eng
dc.publisher
Springer Heidelberg
dc.rights
info:eu-repo/semantics/openAccess
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.subject
INEQUALITIES
dc.subject
MIXED
dc.subject
WEIGHTED
dc.subject.classification
Matemática Pura
dc.subject.classification
Matemáticas
dc.subject.classification
CIENCIAS NATURALES Y EXACTAS
dc.title
Proof of an extension of E. Sawyer’s conjecture about weighted mixed weak-type estimates
dc.type
info:eu-repo/semantics/article
dc.type
info:ar-repo/semantics/artículo
dc.type
info:eu-repo/semantics/publishedVersion
dc.date.updated
2019-10-09T14:17:04Z
dc.identifier.eissn
1432-1807
dc.journal.volume
374
dc.journal.number
1-2
dc.journal.pagination
907-929
dc.journal.pais
Alemania
dc.description.fil
Fil: Kangwei, Li. Basque Center for Applied Mathematics; 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.description.fil
Fil: Pérez, Carlos. Universidad del País Vasco; España
dc.journal.title
Mathematische Annalen
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/http://link.springer.com/10.1007/s00208-018-1762-0
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1007/s00208-018-1762-0
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/https://arxiv.org/abs/1703.01530


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