Boundedness of pseudodifferential operators with symbols in Wiener amalgam spaces on modulation spaces

Boundedness of pseudodifferential operators with symbols in Wiener amalgam spaces on modulation spaces

This paper provides sufficient conditions for the boundedness of Weyl operators on modulation spaces. The Weyl symbols belong to Wiener amalgam spaces, or generalized modulation spaces, as recently renamed by their inventor Hans Feichtinger. This is the first result which relates symbols in Wiener a...

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Veröffentlicht in:Journal of pseudo-differential operators and applications 2018-12, Vol.9 (4), p.881-890
Hauptverfasser: D’Elia, Lorenza, Trapasso, S. Ivan
Format: Artikel
Sprache:eng
Schlagworte:
Algebra
Analysis
Applications of Mathematics
Functional Analysis
Mathematics
Mathematics and Statistics
Modulation
Operator Theory
Operators
Partial Differential Equations
Symbols
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Zusammenfassung:This paper provides sufficient conditions for the boundedness of Weyl operators on modulation spaces. The Weyl symbols belong to Wiener amalgam spaces, or generalized modulation spaces, as recently renamed by their inventor Hans Feichtinger. This is the first result which relates symbols in Wiener amalgam spaces to operators acting on classical modulation spaces.
ISSN:1662-9981
1662-999X
DOI:10.1007/s11868-017-0220-1