Journal of Operator Theory

Volume 59, Issue 1, Winter 2008 pp. 81-115.

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

Authors: Gruia Arsu
Author institution: Institute of Mathematics of The Romanian Academy, Bucharest, P.O. Box 1-174, 014700, Romania

Summary: We investigate the Schatten-class properties of pseudodifferential operators with the (revisited) 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\leqslant p<\infty $.

Keywords: Calderón, Cordes, Kato, Schatten, Schrödinger, Vaillancourt, Weyl calculus, pseudodifferential operator, trace-class

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