Derivative bounds for fractional maximal functions
arXiv:1510.02965 · doi:10.1090/tran/6844
Abstract
In this paper we study the regularity properties of fractional maximal operators acting on -functions. We establish new bounds for the derivative of the fractional maximal function, both in the continuous and in the discrete settings.
27 pages. To appear in Trans. Amer. Math. Soc