Derivative bounds for fractional maximal functions

By Emanuel Carneiro, Jos'e Madrid. 2015

88 citations recorded by the source corpus.

In this paper we study the regularity properties of fractional maximal operators acting on $BV$-functions. We establish new bounds for the derivative of the fractional maximal function, both in the continuous and in the discrete settings.

Subfields: Applied Mathematics, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/03d39db1581071ca184f63e5e4680fecab8a41f6