Uniform bounds for polynomial Carleson operators and oscillatory integrals of Radon type
In this paper, we establish the $L^p$ bounds for partial polynomial Carleson operators along polynomial curves for $p \gt 1$ , which depend only on $p$ and the number of monomials in the defining polynomial. Additionally, we study two classes of oscillatory integral operators of Radon type and derive uniform $L^2$ bounds.
Authors
- Dunyan Yan (ORCID: https://orcid.org/0000-0001-7462-3823)
- Qingying Xue
- Jiao Ma (ORCID: https://orcid.org/0000-0002-0688-5108)
- Moyan Qin
Institutions
- Beijing Normal University (CN)
- University of Chinese Academy of Sciences (CN)
Publication Details
- Journal
- Proceedings of the Royal Society of Edinburgh Section A Mathematics
- Published
- 2025-12-04
- DOI
- https://doi.org/10.1017/prm.2025.10107
- Primary Topic
- Advanced Harmonic Analysis Research
- Type
- article
- Field-Weighted Citation Impact
- 0.00