English

On the Local Regularity of the Hilbert Transform

Classical Analysis and ODEs 2025-01-07 v3 Complex Variables

Abstract

In this paper the local regularity of the Hilbert transform is considered, and local smoothness and real analyticity results are obtained.

Keywords

Cite

@article{arxiv.2308.11947,
  title  = {On the Local Regularity of the Hilbert Transform},
  author = {Yifei Pan and Jianfei Wang and Yu Yan},
  journal= {arXiv preprint arXiv:2308.11947},
  year   = {2025}
}
R2 v1 2026-06-28T12:02:13.854Z