On the variation of the discrete maximal operator
On the variation of the discrete maximal operator
In this note we study the endpoint regularity properties of the discrete nontangential fractional maximal operatorwhere α ∈ [0,1) , β ∈ [0,∞) and N = {0,1,2,... ,} , covering the discrete centered Hardy-Littlewood maximal operator and its fractional variant.More precisely, we establish the sharp boundedness and continuity for M …