info:eu-repo/semantics/article
Dyadic Fefferman-Stein inequalities and the equivalence of Haar bases on weighted Lebesgue spaces
Fecha
2011-09Registro en:
Aimar, Hugo Alejandro; Bernardis, Ana Lucia; Nowak, Luis Maria Ricardo; Dyadic Fefferman-Stein inequalities and the equivalence of Haar bases on weighted Lebesgue spaces; Centro Internacional de Métodos Computacionales en Ingeniería; Cuadernos de Matemática y Mecánica; 141; 9-2011; 1-21
0326-5641
CONICET Digital
CONICET
Autor
Aimar, Hugo Alejandro
Bernardis, Ana Lucia
Nowak, Luis Maria Ricardo
Resumen
In this note we give sufficient conditions on two dyadic systems to obtain the equivalence of corresponding Haar systems on dyadic weighted Lebesgue spaces on spaces of homogeneous type. In order to obtain these result we prove a Fefferman-Stein weighted inequality for vector valued dyadic Hardy-Littlewood maximal operators with weights in this general setting.