IMAL   13325
INSTITUTO DE MATEMATICA APLICADA DEL LITORAL "DRA. ELEONOR HARBOURE"
Unidad Ejecutora - UE
artículos
Título:
Haar type systems and Banach functions spaces on spaces of homogeneous type
Autor/es:
LUIS NOWAK; GLADIS PRADOLINI; WILFREDO RAMOS
Revista:
Actas del XII Congreso Antonio Monteiro
Editorial:
INMABB
Referencias:
Año: 2014 p. 163 - 172
ISSN:
0327-9170
Resumen:
ABSTRACT. In this note we prove that the Haar type systems defined on spaces of homogeneous type are unconditional bases for a wide family of Banach function spaces. Also, we give a characterization of these spaces via Haar coefficients. The main tool used in the proof is a generalization of the technique of extrapolation of Rubio de Francia in Banach function spaces defined on spaces of homogeneous type.