English

Multilinear pseudo-differential operators with $S_{0,0}$ class symbols of limited smoothness

Classical Analysis and ODEs 2022-06-22 v1

Abstract

We consider the boundedness of the multilinear pseudo-differential operators with symbols in the multilinear H\"{o}rmander class S0,0S_{0,0}. The aim of this paper is to discuss smoothness conditions for symbols to assure the boundedness between local Hardy spaces.

Keywords

Cite

@article{arxiv.2206.09332,
  title  = {Multilinear pseudo-differential operators with $S_{0,0}$ class symbols of limited smoothness},
  author = {Tomoya Kato},
  journal= {arXiv preprint arXiv:2206.09332},
  year   = {2022}
}

Comments

22 pages