A note on higher integrability of projections
Fuente:
arXiv
Salvato in:
| Autore principale: | |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2025
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866918187201724416 |
|---|---|
| author | Orponen, Tuomas |
| author_facet | Orponen, Tuomas |
| contents | Let $t \in [1,2)$ and $p > 2/(2 - t)$. I construct a $t$-Frostman Borel measure $μ$ on $[0,1]^{2}$ such that $π_θμ\notin L^{p}$ for every $θ\in S^{1}$. This answers a question of Peres and Schlag. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_06474 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A note on higher integrability of projections Orponen, Tuomas Classical Analysis and ODEs 28A80, 28A78 Let $t \in [1,2)$ and $p > 2/(2 - t)$. I construct a $t$-Frostman Borel measure $μ$ on $[0,1]^{2}$ such that $π_θμ\notin L^{p}$ for every $θ\in S^{1}$. This answers a question of Peres and Schlag. |
| title | A note on higher integrability of projections |
| topic | Classical Analysis and ODEs 28A80, 28A78 |
| url | https://arxiv.org/abs/2509.06474 |