English

Sharp maximal function estimates and $H^{p}$ continuities of pseudo-differential operators

Analysis of PDEs 2025-03-04 v1

Abstract

It is studied that pointwise estimates and continuities on Hardy spaces of pseudo-differential operators (PDOs for short) with the symbol in general H\"{o}rmander's classes. We get weighted weak-type (1,1)(1,1) estimate, weighted normal inequalities, (Hp,Hp)(H^{p},H^{p}) continuities and (Hp,Lp)(H^{p},L^{p}) continuities for PDOs, where 0<p10<p\leq1.

Keywords

Cite

@article{arxiv.2503.00800,
  title  = {Sharp maximal function estimates and $H^{p}$ continuities of pseudo-differential operators},
  author = {Guangqing Wang},
  journal= {arXiv preprint arXiv:2503.00800},
  year   = {2025}
}
R2 v1 2026-06-28T22:03:30.937Z