Continuity and Schatten Properties for Pseudo-differential Operators on Modulation Spaces

2007 ◽  
pp. 173-206 ◽  
Author(s):  
Joachim Toft
Keyword(s):  
Differential Operators ◽  
Modulation Spaces ◽  
Pseudo Differential Operators

scholarly journals Trace ideals for pseudo-differential operators and their commutators with symbols in α-modulation spaces

2009 ◽  
Vol 107 (1) ◽  
pp. 141-160 ◽  
Author(s):  
Masaharu Kobayashi ◽  
Mitsuru Sugimoto ◽  
Naohito Tomita
Keyword(s):  
Differential Operators ◽  
Modulation Spaces ◽  
Pseudo Differential Operators

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

2017 ◽  
Vol 15 (03) ◽  
pp. 353-389 ◽  
Author(s):  
Joachim Toft
Keyword(s):  
Banach Spaces ◽  
Differential Operators ◽  
Modulation Spaces ◽  
Von Neumann ◽  
Norm Estimates ◽  
Pseudo Differential Operators

We deduce continuity and Schatten–von Neumann properties for operators with matrices satisfying mixed quasi-norm estimates with Lebesgue and Schatten parameters in [Formula: see text]. 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 Hörmander classes.

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