Estimates for maximal Fourier multiplier operators on $\Bbb R^2$ via square functions
Fuente:
arXiv
Saved in:
| Main Author: | |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866911497403236352 |
|---|---|
| author | Sato, Shuichi |
| author_facet | Sato, Shuichi |
| contents | We consider certain Littlewood-Paley square functions on $\Bbb R^2$ and prove sharp estimates for them, from which we can deduce $L^p$ boundedness of maximal functions defined by Fourier multipliers of Bochner-Riesz type on $\Bbb R^2$. This is a generalization of a result due to A. Carbery 1983. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_00279 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Estimates for maximal Fourier multiplier operators on $\Bbb R^2$ via square functions Sato, Shuichi Classical Analysis and ODEs 42B08, 42B15 We consider certain Littlewood-Paley square functions on $\Bbb R^2$ and prove sharp estimates for them, from which we can deduce $L^p$ boundedness of maximal functions defined by Fourier multipliers of Bochner-Riesz type on $\Bbb R^2$. This is a generalization of a result due to A. Carbery 1983. |
| title | Estimates for maximal Fourier multiplier operators on $\Bbb R^2$ via square functions |
| topic | Classical Analysis and ODEs 42B08, 42B15 |
| url | https://arxiv.org/abs/2508.00279 |