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

Spectral Theory 2022-01-27 v2 Mathematical Physics Functional Analysis math.MP

Abstract

We obtain a number of explicit estimates for quasi-norms of pseudo-differential operators in the Schatten-von Neumann classes SqS_q with 0<q10<q\le 1. The estimates are applied to derive semi-classical bounds for operators with smooth or non-smooth symbols.

Keywords

Cite

@article{arxiv.1310.2083,
  title  = {On the Schatten-von Neumann properties of some pseudo-differential operators},
  author = {Alexander V. Sobolev},
  journal= {arXiv preprint arXiv:1310.2083},
  year   = {2022}
}

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22 pages