Paraproducts in One and Several Parameters

Michael T Lacey, Jason Metcalfe

For multiparameter bilinear paraproduct operators $B$ we prove the estimate $$B:L^{p}X{L}^q-->L^r,1<p,q\le \infty .$$ Here, $1/p+1/q=1/r$ and special attention is paid to the c…