Abstract：Let O(Wt) be the oscillation operator of heat semigroup associated with discrete LaplacianΔd. By using discrete semigroup theory and discrete vector-valued Calderón-Zygmund theorem， it is proved that the oscillation operator O(Wt) is bounded from p() into itself for 1〈p〈∞， bounded from 1() into weak -1().
2022, Vol. 56 
