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arXiv · 1311.1405

Sharp results for the Weyl product on modulation spaces

Elena Cordero·Joachim Toft·Patrik Wahlberg
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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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Elena Cordero, Joachim Toft, Patrik Wahlberg. 2016-04-26. Sharp results for the Weyl product on modulation spaces. https://arxiv.org/abs/1311.1405

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