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arXiv · 1406.3820

Continuity and Schatten properties for pseudo-differential operators with symbols in quasi-Banach modulation spaces or H\"ormander classes

Joachim Toft
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Abstract

We establish continuity and Schatten-von Neumann properties for matrix operators with matrices satisfying mixed quasi-norm estimates. These considerations also include the case when the Lebesgue and Schatten parameters are allowed to stay between $0$ and $1$. We use the results to deduce continuity and Schatten-von Neumann properties for pseudo-differential operators with symbols in a broad class of modulation spaces.

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Joachim Toft. 2014-06-15. Continuity and Schatten properties for pseudo-differential operators with symbols in quasi-Banach modulation spaces or H\"ormander classes. https://arxiv.org/abs/1406.3820

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