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arXiv · 1504.05720

Boundedness of Pseudo-Differential Operators on $L^p$, Sobolev, and Modulation Spaces

Shahla Molahajloo·Götz E. Pfander
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Abstract

We introduce new classes of modulation spaces over phase space. By means of the Kohn-Nirenberg correspondence, these spaces induce norms on pseudo-differential operators that bound their operator norms on $L^p$-spaces, Sobolev spaces, and modulation spaces.

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Shahla Molahajloo, Götz E. Pfander. 2015-04-22. Boundedness of Pseudo-Differential Operators on $L^p$, Sobolev, and Modulation Spaces. https://doi.org/10.1051/mmnp/20138113 10.1051/mmnp/20127101

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