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dc.contributor.author
Aimar, Hugo Alejandro
dc.contributor.author
Bernardis, Ana Lucia
dc.contributor.author
Martín Reyes, Francisco Javier
dc.date.available
2020-03-22T12:20:15Z
dc.date.issued
2003-03
dc.identifier.citation
Aimar, Hugo Alejandro; Bernardis, Ana Lucia; Martín Reyes, Francisco Javier; Multiresolution Approximations and Wavelet Bases of Weighted Lp Spaces; Birkhauser Boston Inc; Journal Of Fourier Analysis And Applications; 9; 5; 3-2003; 497-510
dc.identifier.issn
1069-5869
dc.identifier.uri
http://hdl.handle.net/11336/100605
dc.description.abstract
We study boundedness and convergence on Lp(ℝn, dμ) of the projection operators Pj given by MRA structures with non-necessarily compactly supported scaling function. As a consequence, we prove that if w is a locally integrable function such that w -1/p-1 (x)(1+|x|)-N is integrable for some N > 0, then the Muckenhoupt Ap condition is necessary and sufficient for the associated wavelet system to be an unconditional basis for the weighted space L p(ℝn, w(x) dx), 1 < p < ∞.
dc.format
application/pdf
dc.language.iso
eng
dc.publisher
Birkhauser Boston Inc
dc.rights
info:eu-repo/semantics/openAccess
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.subject
AP WEIGHTS
dc.subject
WAVELETS
dc.subject
WEIGHTED LEBESGUE SPACES
dc.subject.classification
Matemática Pura
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Matemáticas
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CIENCIAS NATURALES Y EXACTAS
dc.title
Multiresolution Approximations and Wavelet Bases of Weighted Lp Spaces
dc.type
info:eu-repo/semantics/article
dc.type
info:ar-repo/semantics/artículo
dc.type
info:eu-repo/semantics/publishedVersion
dc.date.updated
2020-03-20T20:02:46Z
dc.journal.volume
9
dc.journal.number
5
dc.journal.pagination
497-510
dc.journal.pais
Alemania
dc.description.fil
Fil: Aimar, Hugo Alejandro. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Santa Fe. Instituto de Matemática Aplicada del Litoral. Universidad Nacional del Litoral. Instituto de Matemática Aplicada del Litoral; Argentina
dc.description.fil
Fil: Bernardis, Ana Lucia. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Santa Fe. Instituto de Matemática Aplicada del Litoral. Universidad Nacional del Litoral. Instituto de Matemática Aplicada del Litoral; Argentina
dc.description.fil
Fil: Martín Reyes, Francisco Javier. Universidad de Málaga; España
dc.journal.title
Journal Of Fourier Analysis And Applications
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1007/s00041-003-0024-y
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