Archivio Istituzionale della RicercaWe give sufficient and necessary conditions on the Lebesgue exponents for the Weyl product to be bounded on modulation spaces. The sufficient conditions are obtained as the restriction to N= 2 of a result valid for the N-fold Weyl product. As a byproduct, we obtain sharp conditions for the twisted convolution to be bounded on Wiener amalgam spaces.
Sharp results for the Weyl product on modulation spaces / Cordero, Elena; Toft, Joachim; Wahlberg, Patrik. - In: JOURNAL OF FUNCTIONAL ANALYSIS. - ISSN 0022-1236. - 267:8(2014), pp. 3016-3057. [10.1016/j.jfa.2014.07.011]
Sharp results for the Weyl product on modulation spaces
Cordero, Elena;Wahlberg, Patrik
2014
Abstract
We give sufficient and necessary conditions on the Lebesgue exponents for the Weyl product to be bounded on modulation spaces. The sufficient conditions are obtained as the restriction to N= 2 of a result valid for the N-fold Weyl product. As a byproduct, we obtain sharp conditions for the twisted convolution to be bounded on Wiener amalgam spaces.
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Utilizza questo identificativo per citare o creare un link a questo documento:
https://hdl.handle.net/11583/2999744