English

A sharp sparse domination of pseudodifferential operators

Functional Analysis 2022-11-28 v1

Abstract

In this paper, we give a sharp sparse domination of pseudodifferential operators associated with symbols belonging to the H\"{o}rmander class, and fundamental solutions of dispersive equations. Furthermore, we give boundedness results of these operators on weighted Besov spaces by using the sparse domination.

Keywords

Cite

@article{arxiv.2211.13840,
  title  = {A sharp sparse domination of pseudodifferential operators},
  author = {Ryosuke Yamamoto},
  journal= {arXiv preprint arXiv:2211.13840},
  year   = {2022}
}
R2 v1 2026-06-28T07:12:11.066Z