Schatten classes for Toeplitz operators with Hilbert space windows on modulation spaces

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• 作者：Joachim Toft ; Paolo Boggiatto
• 关键词：Toeplitz operators ; Modulation spaces ; Schatten&#x2013 ; von Neumann ; Pseudodifferential operators ; Weyl quantization ; Convolutions
• 刊名：Advances in Mathematics
• 出版年：2008
• 出版时间：15 January 2008
• 年：2008
• 卷：217
• 期：1
• 页码：305-333
• 全文大小：289 K

文摘

We prove that if ω, ω₁, ω₂, v₁, v₂ are appropriate, , j=1,2, and ωaL^p, then the Toeplitz operator Tp_h1,h2(a) from to belongs to the Schatten–von Neumann class of order p. From this property we prove convolution properties between weighted Lebesgue spaces and Schatten–von Neumann classes of symbols in pseudo-differential calculus.