On Schatten-von Neumann class properties of pseudo-differential operators. Cordes' lemma
泛函分析
2007-05-23 v1 偏微分方程分析
摘要
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 -quantization. Here is an dimensional vector space and is an endomorphism of .
引用
@article{arxiv.math/0610397,
title = {On Schatten-von Neumann class properties of pseudo-differential operators. Cordes' lemma},
author = {Gruia Arsu},
journal= {arXiv preprint arXiv:math/0610397},
year = {2007}
}