Paraproducts and Products of functions in $BMO({\mathbb{R}}^n)$ and $H^1({\mathbb{R}}^n)$ through wavelets

Aline Bonami, Sandrine Grellier, Luong Dang Ky

In this paper, we prove that the product (in the distribution sense) of two functions, which are respectively in $ \BMO(\bR^n)$ and $\H^1(\bR^n)$, may be written as the sum of two…