A new quantitative two weight theorem for the Hardy-Littlewood maximal operator

Abstract

A quantitative two weight theorem for the Hardy-Littlewood maximal operator is proved improving the known ones. As a consequence a new proof of the main results in [HP] and in [HPR12] is obtained which avoids the use of the sharp quantitative reverse Holder inequality for $A_{\infty }$ proved in those papers. Our results are valid within the context of spaces of homogeneous type without imposing the non-empty annuli condition.

References in corpus (2)

• Equivalent definitions of dyadic Muckenhoupt and Reverse Hölder classes in terms of Carleson sequences, weak classes, and comparability of dyadic $L\log L$ and $A_{\infty }$ constants
• Mixed $A_p$-$A_{\infty }$ estimates with one supremum

Cited by in corpus (1)

• Dyadic harmonic analysis and weighted inequalities: the sparse revolution