Generalized Anti-Wick Operators with Symbols in Distributional Sobolev spaces

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• 作者：Paolo Boggiatto ; Elena Cordero and Karlheinz Gr?chenig
• 关键词：Anti ; Wick operator ; time ; frequency localization operator ; modulation space ; Sobolev space ; Schatten class ; convolution relation
• 刊名：Integral Equations and Operator Theory
• 出版年：2004
• 出版时间：April 2004
• 年：2004
• 卷：48
• 期：4
• 页码：427-442
• 全文大小：234 KB
• 刊物类别：Mathematics and Statistics
• 刊物主题：Mathematics
  Analysis
  
• 出版者：Birkh盲user Basel
• ISSN：1420-8989

文摘

Generalized Anti-Wick operators are introduced as a class of pseudodifferential operators which depend on a symbol and two different windowfunctions. Using symbols in Sobolev spaces with negative smoothness andwindows in so-called modulation spaces, we derive new conditions for theboundedness on L2 of such operators and for their membership in the Schattenclasses. These results extend and refine results contained in [20], [10], [5],[4], and [14].