Schatten classes for Toeplitz operators with Hilbert space windows on modulation spaces |
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| Authors: | Joachim Toft Paolo Boggiatto |
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| Institution: | a Department of Mathematics and Systems Engineering, Växjö University, Sweden
b Department of Mathematics, Torino University, Italy |
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| Abstract: | We prove that if ω, ω1, ω2, v1, v2 are appropriate,  , j=1,2, and ωa∈Lp, then the Toeplitz operator Tph1,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. |
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| Keywords: | Toeplitz operators Modulation spaces Schatten-von Neumann Pseudodifferential operators Weyl quantization Convolutions |
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