Improved endpoint bounds for the lacunary spherical maximal operator
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2017
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866911964221931520 |
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| author | Cladek, Laura Krause, Ben |
| author_facet | Cladek, Laura Krause, Ben |
| contents | We prove new endpoint bounds for the lacunary spherical maximal operator and as a consequence obtain almost everywhere pointwise convergence of lacunary spherical means for functions locally in $L\log\log\log L(\log\log\log\log L)^{1+ε}$ for any $ε>0$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1703_01508 |
| institution | arXiv |
| publishDate | 2017 |
| record_format | arxiv |
| spellingShingle | Improved endpoint bounds for the lacunary spherical maximal operator Cladek, Laura Krause, Ben Classical Analysis and ODEs 42B15 We prove new endpoint bounds for the lacunary spherical maximal operator and as a consequence obtain almost everywhere pointwise convergence of lacunary spherical means for functions locally in $L\log\log\log L(\log\log\log\log L)^{1+ε}$ for any $ε>0$. |
| title | Improved endpoint bounds for the lacunary spherical maximal operator |
| topic | Classical Analysis and ODEs 42B15 |
| url | https://arxiv.org/abs/1703.01508 |