Leibniz rules and Gauss–Green formulas in distributional fractional spaces

We apply the results established in [12] to prove some new fractional Leibniz rules involving BV?,p and S?,p functions, following distributional approach adopted previous works [8], [13], [14]. In order achieve our main results, we revise elementary properties of operators involved framework Besov spaces rephraze Kenig–Ponce–Vega Leibniz-type rule context. well-posedness boundary-value problem for a general 2?-order elliptic operator divergence form.