Furstenberg set theorem for transversal families of functions
Fuente:
arXiv
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866908504442273792 |
|---|---|
| author | Orponen, Tuomas Pyörälä, Aleksi Yi, Guangzeng |
| author_facet | Orponen, Tuomas Pyörälä, Aleksi Yi, Guangzeng |
| contents | We prove an extension of the Furstenberg set theorem to families of graphs satisfying a transversality condition. We apply the result to derive bounds on $L^{p}$-norms of Fourier transforms of fractal measures supported on plane curves. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_19047 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Furstenberg set theorem for transversal families of functions Orponen, Tuomas Pyörälä, Aleksi Yi, Guangzeng Classical Analysis and ODEs Combinatorics We prove an extension of the Furstenberg set theorem to families of graphs satisfying a transversality condition. We apply the result to derive bounds on $L^{p}$-norms of Fourier transforms of fractal measures supported on plane curves. |
| title | Furstenberg set theorem for transversal families of functions |
| topic | Classical Analysis and ODEs Combinatorics |
| url | https://arxiv.org/abs/2508.19047 |