Schatten classes for Toeplitz operators with Hilbert space windows on modulation spaces |
| |
Authors: | Joachim Toft Paolo Boggiatto |
| |
Institution: | a Department of Mathematics and Systems Engineering, Växjö University, Sweden b Department of Mathematics, Torino University, Italy |
| |
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. |
| |
Keywords: | Toeplitz operators Modulation spaces Schatten-von Neumann Pseudodifferential operators Weyl quantization Convolutions |
本文献已被 ScienceDirect 等数据库收录! |
|