English

An Approach To Endpoint Problems in Oscillatory Singular Integrals

Classical Analysis and ODEs 2025-02-27 v1

Abstract

In this note we provide a quick proof that maximal truncations of oscillatory singular integrals are bounded from L1(R)L^1(\mathbb{R}) to L1,(R)L^{1,\infty}(\mathbb{R}). The methods we use are entirely elementary, and rely only on pigeonholing and stationary phase considerations.

Keywords

Cite

@article{arxiv.2502.19302,
  title  = {An Approach To Endpoint Problems in Oscillatory Singular Integrals},
  author = {Alex Iosevich and Ben Krause and Hamed Mousavi},
  journal= {arXiv preprint arXiv:2502.19302},
  year   = {2025}
}
R2 v1 2026-06-28T21:58:57.348Z