Abstract.
Generalized Anti-Wick operators are introduced as a class of pseudodifferential operators which depend on a symbol and two different window functions. Using symbols in Sobolev spaces with negative smoothness and windows in so-called modulation spaces, we derive new conditions for the boundedness on L 2 of such operators and for their membership in the Schatten classes. These results extend and refine results contained in [20], [10], [5], [4], and [14].
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Boggiatto, P., Cordero, E. & Gröchenig, K. Generalized Anti-Wick Operators with Symbols in Distributional Sobolev spaces. Integr. equ. oper. theory 48, 427–442 (2004). https://doi.org/10.1007/s00020-003-1244-x
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DOI: https://doi.org/10.1007/s00020-003-1244-x