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 $1\le q \le\min(p,p')$.