Abstract
In this paper we study modulation spaces with weights which admit sub-exponential growth at infinity. We show that certain Gelfand-Shilov spaces are the projective limit of modulation spaces. In the second part of the paper we give sufficient conditions on the symbols to ensure that the corresponding pseudodifferential operators belong to the Schatten-von Neumann class Sp,q.
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Acknowledgement
I am grateful to Professors E. Cordero, K. Gröchenig, S. Pilipović, and J. Toft for fruitful discussions during the preparation of the paper. I thank the referee for valuable comments and remarks. My thanks goes as well to the Erwin Schrödinger Institute (ESI), Wien. The paper is partly prepared during my stay in Wien on the base of the ESI Junior Research Fellowship.
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Teofanov, N. Modulation Spaces, Gelfand-Shilov Spaces and Pseudodifferential Operators. STSIP 5, 225–242 (2006). https://doi.org/10.1007/BF03549452
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DOI: https://doi.org/10.1007/BF03549452