INVESTIGADORES
RAMOS Wilfredo Ariel
artículos
Título:
Continuous and localized Riesz bases for L2 spaces defined by Muckenhoupt weights
Autor/es:
AIMAR HUGO; RAMOS WILFREDO ARIEL
Revista:
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
Editorial:
ACADEMIC PRESS INC ELSEVIER SCIENCE
Referencias:
Lugar: Amsterdam; Año: 2015 vol. 430 p. 417 - 427
ISSN:
0022-247X
Resumen:
Let w be an A_{infty}-Muckenhoupt weight in R. Let L^2(wdx) denote the space of square integrable real functions with the measure w(x)dx and the usual weighted scalar product {f,g}_{w}. By regularization of an unbalanced Haar system in L^2(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.
