Pérez Moreno, CarlosRela, Ezequiel2016-07-012016-07-012015-02Pérez Moreno, C. y Rela, E. (2015). A new quantitative two weight theorem for the Hardy-Littlewood maximal operator. Proceedings of the American Mathematical Society, 143 (2), 641-655.0002-99391088-6826http://hdl.handle.net/11441/42998A 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∞ proved in those papers. Our results are valid within the context of spaces of homogeneous type without imposing the non-empty annuli condition.application/pdfengAttribution-NonCommercial-NoDerivatives 4.0 Internacionalhttp://creativecommons.org/licenses/by-nc-nd/4.0/two weight theoremspace of homogeneous typeMuckenhoupt weightsCalderón-Zygmundmaximal functionsinfo:eu-repo/semantics/articleinfo:eu-repo/semantics/openAccess