拟 Banach 调制空间或 H"ormander 类中符号的伪微分算子的连续性与 Schatten 性质
泛函分析
2016-05-02 v4
摘要
我们建立了满足混合拟范数估计的矩阵算子的连续性与 Schatten-von Neumann 性质。这些考量也包括 Lebesgue 参数和 Schatten 参数允许保持在 和 之间的情形。我们利用这些结果推导了具有广泛调制空间类中符号的伪微分算子的连续性与 Schatten-von Neumann 性质。
引用
@article{arxiv.1406.3820,
title = {Continuity and Schatten properties for pseudo-differential operators with symbols in quasi-Banach modulation spaces or H\"ormander classes},
author = {Joachim Toft},
journal= {arXiv preprint arXiv:1406.3820},
year = {2016}
}
备注
38 pages. Karlheinz Gr\"ochenig was one of the authors in the first version. It was then decided that he will not be one of the authors of the paper. A new Subsection 1.8 is included which informs about H\"ormander-Weyl calculus. Sections 2 and 4 are modified. arXiv admin note: text overlap with arXiv:1404.0758