Continuity and compactness for pseudo-differential operators with symbols in quasi-Banach spaces or Hormander classes

被引：19

作者：

Toft, Joachim ^{[1
]}

机构：

[1] Linnaeus Univ, Dept Math, Vaxjo, Sweden

来源：

ANALYSIS AND APPLICATIONS | 2017年 / 15卷 / 03期

关键词：

Schatten-von Neumann; quasi-Banach; modulation spaces; Hormander classes; matrices; TIME-FREQUENCY ANALYSIS; VON-NEUMANN PROPERTIES; GELFAND-SHILOV SPACES; MODULATION SPACES; L-P; CALCULUS; TOEPLITZ; REPRESENTATIONS; ALGEBRA;

D O I：

10.1142/S0219530516500159

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We deduce continuity and Schatten-von Neumann properties for operators with matrices satisfying mixed quasi-norm estimates with Lebesgue and Schatten parameters in (0,infinity]. We use these results to deduce continuity and Schatten-von Neumann properties for pseudo-differential operators with symbols in quasi-Banach modulation spaces, or in appropriate Hormander classes.

引用

页码：353 / 389

页数：37

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