Schatten Class Estimates for Paraproducts in Multi-parameter setting and applications

Michael T. Lacey, Ji Li, Brett D. Wick

Let ${\Pi }_b$ be a bounded $n$ parameter paraproduct with symbol $b$. We demonstrate that this operator is in the Schatten class $S^p$, $0<p<\infty$, if the symbol is in the $n$ par…