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On the Schatten-von Neumann properties of some pseudo-differential operators

We obtain a number of explicit estimates for quasi-norms of pseudo-differential operators in the Schatten-von Neumann classes $S_q$ with $0<q\le 1$. The estimates are applied to derive semi-classical bounds for operators with smooth or non-smooth symbols.

preprint2013arXivOpen access
Alexander V. Sobolev
math-phmath.FAmath.MPmath.SP
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Alexander V. Sobolev

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