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Endpoint regularity of discrete multilinear fractional nontangential maximal functions
2019
Advances in Difference Equations
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Given m ≥ 1, 0 ≤ λ ≤ 1, and a discrete vector-valued function f = (f 1 , . . . , f m ) with each f j : Z d → R, we consider the discrete multilinear fractional nontangential maximal operator ) is the number of lattice points in the set B r ( x). We show that the operator f → |∇M λ α,B ( f )| is bounded and continuous from . We also prove that the same result also holds for the discrete multilinear fractional nontangential maximal operators associated with cubes. These results we obtained
doi:10.1186/s13662-019-2257-3
fatcat:imzdn3c57ndbddjz5bood6eeki