Equivalence of Haar bases associated to different dyadic systems

Hugo A. Aimar, Ana L. Bernardis, Luis Nowak


In this note we give sufficient conditions on two dyadic systems on a space of homogeneous type in order to obtain the equivalence of corresponding Haar systems on Lebesgue spaces. The main tool is the vector valued Fefferman-Stein inequality for the Hardy-Littlewood maximal operator.

Accepted: Journal of Geometric Analysis. November 2009.

Full Text: