%0 Journal Article %T Derivative bounds for fractional maximal functions %A Emanuel Carneiro %A Jos¨¦ Madrid %J Mathematics %D 2015 %I arXiv %X In this paper we study the regularity properties of fractional maximal operators acting on $BV$-functions and $W^{1,1}$-functions. We establish new bounds for the derivative of the fractional maximal function, both in the continuous and in the discrete settings %U http://arxiv.org/abs/1510.02965v1