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

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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.

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Acknowledgements

The authors would like to thank Professors Elena Cordero and Fabio Nicola for fruitful conversations and comments.

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Authors and Affiliations

  1. Dipartimento di Matematica, Università di Torino, via Carlo Alberto 10, 10123, Turin, Italy

    Lorenza D’Elia & S. Ivan Trapasso

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  1. Lorenza D’Elia
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  2. S. Ivan Trapasso
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Correspondence to S. Ivan Trapasso.

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D’Elia, L., Trapasso, S.I. Boundedness of pseudodifferential operators with symbols in Wiener amalgam spaces on modulation spaces. J. Pseudo-Differ. Oper. Appl. 9, 881–890 (2018). https://doi.org/10.1007/s11868-017-0220-1

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  • DOI: https://doi.org/10.1007/s11868-017-0220-1

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