On Schatten-von Neumann class properties of pseudo-differential operators. Cordes' lemma

Abstract

We prove an extended version of Cordes' lemma concerning trace-class properties of some special pseudo-differential operators. This version of Cordes' lemma is used to improve the results in \cite{Arsu} concerning the Schatten-class properties of pseudo-differential operators in the $(X,\tau )$-quantization. Here $X$ is an $n$ dimensional vector space and $\tau$ is an endomorphism of $X$.

Cited by in corpus (1)

• On Schatten-von Neumann class properties of pseudo-differential operators. Boulkhemair's method