Artículo

Continuous and localized Riesz bases for spaces defined by Muckenhoupt weights

Aimar, Hugo AlejandroIcon ; Ramos, Wilfredo ArielIcon
Fecha de publicación: 10/2015
Editorial: Elsevier
Revista: Journal Of Mathematical Analysis And Applications
ISSN: 0022-247X
Idioma: Inglés
Tipo de recurso: Artículo publicado
Clasificación temática:

Resumen

Let w be an A∞-Muckenhoupt weight in R. Let L2(wdx) denote the space of square integrable real functions with the measure w(x)dx and the weighted scalar product f, g w = R f g wdx. By regularization of an unbalanced Haar system in L2(wdx) we construct absolutely continuous Riesz bases with supports as close to the dyadic intervals as desired. Also the Riesz bounds can be chosen as close to 1 as desired. The main tool used in the proof is Cotlar’s Lemma.
Palabras clave: Riesz Bases , Haar Wavelets, Basis Perturbations , Muckenhoupt Weights , Cotlars Lemma
 
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info:eu-repo/semantics/openAccess Excepto donde se diga explícitamente, este item se publica bajo la siguiente descripción: Creative Commons Attribution-NonCommercial-ShareAlike 2.5 Unported (CC BY-NC-SA 2.5)
Identificadores
URI: http://hdl.handle.net/11336/15188
URL: http://www.sciencedirect.com/science/article/pii/S0022247X15004461
DOI: http://dx.doi.org/10.1016/j.jmaa.2015.05.003
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Articulos(IMAL)
Articulos de INST.DE MATEMATICA APLICADA "LITORAL"
Citación
Aimar, Hugo Alejandro; Ramos, Wilfredo Ariel; Continuous and localized Riesz bases for spaces defined by Muckenhoupt weights; Elsevier; Journal Of Mathematical Analysis And Applications; 430; 1; 10-2015; 417-427
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