Elena Cordero, Joachim Toft, Patrik Wahlberg
Published 2013-11-06, updated 2016-04-26Version 3
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.
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)
Journal: J. Funct. Anal. 267 (8), 3016-3057, 2014
Sharpness of some properties of Wiener amalgam and modulation spaces
Modulation spaces, Wiener amalgam spaces, and Brownian motions
Embeddings of $α$-modulation spaces
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