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On the Schatten-von Neumann properties of some pseudo-differential operators (1310.2083v2)

Published 8 Oct 2013 in math.SP, math-ph, math.FA, and math.MP

Abstract: 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.

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