The Kato-Ponce Inequality with Polynomial Weights

Seungly Oh, Xinfeng Wu

We consider various versions of fractional Leibniz rules (also known as Kato-Ponce inequalities) with polynomial weights $⟨x{⟩}^a=(1+|x{|}^2{)}^{a/2}$ for $a\ge 0$. We sho…