Fiber-wise Calderon-Zygmund decomposition and application to a bi-dimensional paraproduct
Résumé
We are interested in a new kind of bi-dimensional bilinear paraproducts (appearing in [6]), which do not fit into the setting of bilinear Calderon-Zygmund operators. In this paper we propose a fiber-wise Calderon-Zygmund decomposition, which is specially adapted to this kind of bi-dimensional paraproduct.