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.

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

D’Elia, Lorenza;Trapasso, S. Ivan
2018-01-01

Abstract

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.
2018
9
4
881
890
https://www.springer.com/-/1/AV1sZsLK2Z5C3c779HQj
https://arxiv.org/abs/1703.08989
Wigner distribution, Wiener amalgam spaces , Modulation spaces
D’Elia, Lorenza; Trapasso, S. Ivan
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2318/1668354
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