Sharp results for the Weyl product on modulation spaces
Functional Analysis
2016-04-27 v3
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 of a result valid for the -fold Weyl product. As a byproduct, we obtain sharp conditions for the twisted convolution to be bounded on Wiener amalgam spaces.
Keywords
Cite
@article{arxiv.1311.1405,
title = {Sharp results for the Weyl product on modulation spaces},
author = {Elena Cordero and Joachim Toft and Patrik Wahlberg},
journal= {arXiv preprint arXiv:1311.1405},
year = {2016}
}
Comments
In this update we have corrected a sign error in the exponent in Eq. (1.7), and its consequences in Prop. 1.5 and Eq. (2.30)