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

Mathematics – Analysis of PDEs

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Scientific paper

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\leq p<\infty $.

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