Sharp results for the Weyl product on modulation spaces

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.

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)

References in corpus (1)

• Algebras of distributions suitable for phase-space quantum mechanics. I

Cited by in corpus (1)

• Time-frequency Analysis of Born-Jordan Pseudodifferential Operators