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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  
dc.subject.classification
Matemáticas  
dc.subject.classification
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