Decoupling for AD-regular sets on the parabola
Fuente:
arXiv
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Preprint |
| Published: |
2026
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866913157808652288 |
|---|---|
| author | Demeter, Ciprian Fu, Yuqiu |
| author_facet | Demeter, Ciprian Fu, Yuqiu |
| contents | We improve the decoupling exponent for functions with spectrum inside AD-regular collections of arcs on the parabola. We achieve this by incorporating recent Szemerédi--Trotter-type estimates into the bootstrapping argument from \cite{BD}. As an application, our results complement, and in some cases improve earlier results \cite{chang2022decoupling} for arithmetic Cantor sets. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_24109 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Decoupling for AD-regular sets on the parabola Demeter, Ciprian Fu, Yuqiu Classical Analysis and ODEs We improve the decoupling exponent for functions with spectrum inside AD-regular collections of arcs on the parabola. We achieve this by incorporating recent Szemerédi--Trotter-type estimates into the bootstrapping argument from \cite{BD}. As an application, our results complement, and in some cases improve earlier results \cite{chang2022decoupling} for arithmetic Cantor sets. |
| title | Decoupling for AD-regular sets on the parabola |
| topic | Classical Analysis and ODEs |
| url | https://arxiv.org/abs/2605.24109 |