Weyl product algebras and modulation spaces

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• 作者：Anders Holst ; Joachim Toft ; Patrik Wahlberg
• 关键词：Weyl calculus ; Pseudo-differential calculus ; Modulation spaces ; Banach algebras
• 刊名：Journal of Functional Analysis
• 出版年：2007
• 出版时间：15 October 2007
• 年：2007
• 卷：251
• 期：2
• 页码：463-491
• 全文大小：280 K

文摘

We discuss algebraic properties of the Weyl product acting on modulation spaces. For a certain class of weight functions ω we prove that is an algebra under the Weyl product if p[1,∞] and 1qmin(p,p^′). For the remaining cases p[1,∞] and min(p,p^′)<q∞ we show that the unweighted spaces M^p,q are not algebras under the Weyl product.