On Schatten-von Neumann class properties of pseudo-differential operators. The Cordes-Kato method

Abstract

We investigate the Schatten-class properties of pseudo-differential operators with the (revisted) method of Cordes and Kato. As symbol classes we use classes similar to those of Cordes in which the $L^{\infty }$% -conditions are replaced by $L^p$-conditions, $1\le p<\infty$.