English

Calder\'on-Zygmund operators on local hardy spaces

Classical Analysis and ODEs 2022-03-08 v1 Analysis of PDEs Functional Analysis

Abstract

We give necessary and sufficient conditions for inhomogeneous Calder\'on-Zgymund operators to be bounded on the local hardy spaces hp(Rn)h^p(\mathbb{R}^n). We then give applications to local and truncated Riesz transforms, as well as pseudo-differential operators defined by amplitudes.

Keywords

Cite

@article{arxiv.2203.02875,
  title  = {Calder\'on-Zygmund operators on local hardy spaces},
  author = {The Anh Bui and Fu Ken Ly},
  journal= {arXiv preprint arXiv:2203.02875},
  year   = {2022}
}