The Multilinear Spherical Maximal Function in one dimension
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2022
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| _version_ | 1866929612025495552 |
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| author | Dosidis, Georgios Ramos, João P. G. |
| author_facet | Dosidis, Georgios Ramos, João P. G. |
| contents | In dimension $n=1$ we obtain $L^{p_1}(\mathbb R) \times\dots\times L^{p_m}(\mathbb R)$ to $L^p(\mathbb R)$ boundedness for the multilinear spherical maximal function in the largest possible open set of indices and we provide counterexamples that indicate the optimality of our results. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2204_00058 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | The Multilinear Spherical Maximal Function in one dimension Dosidis, Georgios Ramos, João P. G. Classical Analysis and ODEs 42B25 In dimension $n=1$ we obtain $L^{p_1}(\mathbb R) \times\dots\times L^{p_m}(\mathbb R)$ to $L^p(\mathbb R)$ boundedness for the multilinear spherical maximal function in the largest possible open set of indices and we provide counterexamples that indicate the optimality of our results. |
| title | The Multilinear Spherical Maximal Function in one dimension |
| topic | Classical Analysis and ODEs 42B25 |
| url | https://arxiv.org/abs/2204.00058 |