English

Symbolic calculus for a class of pseudodifferential operators with applications to compactness

Classical Analysis and ODEs 2025-07-18 v2 Functional Analysis

Abstract

We prove a symbolic calculus for a class of pseudodifferential operators, and discuss its applications to L2L^2-compactness via a compact version of the T(1)T(1) theorem.

Keywords

Cite

@article{arxiv.2412.09543,
  title  = {Symbolic calculus for a class of pseudodifferential operators with applications to compactness},
  author = {Árpád Bényi and Tadahiro Oh and Rodolfo H. Torres},
  journal= {arXiv preprint arXiv:2412.09543},
  year   = {2025}
}

Comments

15 pages. Minor revision. To appear in J. Geom. Anal