Weyl product algebras and modulation spaces

Summary, in English

We discuss algebraic properties of the Weyl product acting on modulation spaces. For a certain class of weight functions omega we prove that M-(omega)(p,q) is an algebra under the Weyl product if p epsilon [1, infinity] and 1 <= q <= min(p, p '). For the remaining cases P epsilon [1, infinity] and min(p, p ') < q <= infinity we show that the unweighted spaces M-p,M-q are not algebras under the Weyl product. (C) 2007 Elsevier Inc. All rights reserved.

• Författare: Anders Holst; Joachim Toft; Patrik Wahlberg
• Avdelning/ar: Matematik LTH; Harmonic Analysis and Applications
• Publiceringsår: 2007
• Språk: Engelska
• Sidor: 463-491
• Publikation/Tidskrift/Serie: Journal of Functional Analysis
• Volym: 251
• Issue: 2
• Länkar: http://dx.doi.org/10.1016/j.jfa.2007.07.007
• Dokumenttyp: Artikel i tidskrift
• Förlag: Elsevier
• Ämne: Mathematics
• Nyckelord: modulation spaces; Weyl calculus; pseudo-differential calculus; Banach; algebras
• Status: Published
• Forskningsgrupp: Harmonic Analysis and Applications; Harmonic Analysis and Applications
• ISBN/ISSN/Övrigt: ISSN: 0022-1236