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

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.

arXiv comment22 pages

References in corpus (2)

• Entanglement entropy of fermions in any dimension and the Widom conjecture
• On Hankel-type operators with discontinuous symbols in higher dimensions

Cited by in corpus (1)

• Spectral deviation of concentration operators for the short-time Fourier transform