2000 character limit reached
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.