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

Carlos Pérez, Ezequiel Rela
2014 Proceedings of the American Mathematical Society  
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 [HPR12] is obtained which avoids the use of the sharp quantitative reverse Holder inequality for A∞ proved in those papers. Our results are valid within the context of spaces of homogeneous type without imposing the nonempty annuli condition.
doi:10.1090/s0002-9939-2014-12353-7 fatcat:mp6fd2zks5b7lmiimcs6axu5ou