Almost-orthogonality principles for certain directional maximal functions
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2020
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| Accesso online: | |
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| _version_ | 1866911200382550016 |
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| author | Kim, Jongchon |
| author_facet | Kim, Jongchon |
| contents | We develop almost-orthogonality principles for maximal functions associated with averages over line segments and directional singular integrals. Using them, we obtain sharp $L^2$-bounds for these maximal functions when the underlying direction set is equidistributed in $\mathbb{S}^{n-1}$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2004_00141 |
| institution | arXiv |
| publishDate | 2020 |
| record_format | arxiv |
| spellingShingle | Almost-orthogonality principles for certain directional maximal functions Kim, Jongchon Classical Analysis and ODEs 42B20, 42B25 We develop almost-orthogonality principles for maximal functions associated with averages over line segments and directional singular integrals. Using them, we obtain sharp $L^2$-bounds for these maximal functions when the underlying direction set is equidistributed in $\mathbb{S}^{n-1}$. |
| title | Almost-orthogonality principles for certain directional maximal functions |
| topic | Classical Analysis and ODEs 42B20, 42B25 |
| url | https://arxiv.org/abs/2004.00141 |