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In this paper we provide mixed weak type inequalities generalizing previousresults in an earlier work by Caldarelli and the second author and also in thespirit of earlier results by Lorente, Martell, P\'erez and Riveros. One of themain novelties is that, besides obtaining estimates in the euclidean setting,results are provided as well in spaces of homogeneous type, being the firstmixed weak type estimates that we are aware of in that setting.

Mixed weak type inequalities in euclidean spaces and in spaces of homogeneous type