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## Weyl product algebras and classical modulation spaces

### Volume 88 / 2010

Banach Center Publications 88 (2010), 153-158 MSC: Primary 42B35, 35S05; Secondary 47B37 DOI: 10.4064/bc88-0-12

#### Abstract

We discuss continuity properties of the Weyl product when acting on classical modulation spaces. In particular, we prove that $M^{p,q}$ is an algebra under the Weyl product when $p \in [1,\infty]$ and $1\le q \le\min(p,p')$.

#### Authors

• Anders HolstDepartment of Mathematics
Lund University
221 00 Lund, Sweden
e-mail
• Joachim ToftDepartment of Mathematics and Systems Engineering
Växjö University
351 95 Växjö, Sweden
e-mail
• Patrik WahlbergSchool of Electrical Engineering and Computer Science
University of Newcastle
Callaghan, NSW 2308, Australia
e-mail

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