English

A sharp version of the H\"ormander multiplier theorem

Classical Analysis and ODEs 2017-06-21 v1

Abstract

We provide an improvement of the H\"ormander multiplier theorem in which the Sobolev space Lsr(Rn)L^r_s(\mathbb R^n) with integrability index rr and smoothness index s>n/rs>n/r is replaced by the Sobolev space with smoothness ss built upon the Lorentz space Ln/s,1(Rn)L^{n/s,1}(\mathbb R^n).

Keywords

Cite

@article{arxiv.1706.06507,
  title  = {A sharp version of the H\"ormander multiplier theorem},
  author = {Loukas Grafakos and Lenka Slavíková},
  journal= {arXiv preprint arXiv:1706.06507},
  year   = {2017}
}
R2 v1 2026-06-22T20:24:09.141Z