Continuity and approximate differentiability of multisublinear fractional maximal functions
Feng Liu · Mathematical Inequalities & Applications · 2017
In this note we investigate the continuity and approximate differentiability of the msublinear fractional maximal operatorWe also show that the multisublinear fractional maximal functions M α ( f ) are approximately differentiable a.e. if f = ( f 1 , f 2 ,... , f m ) with each f j ∈ L 1 (R d ) being approximately differentiable a.e.As applications, the corresponding results for fractional maximal operators are established.