Sharp maximal function estimates for linear and multilinear pseudo-differential operators
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arXiv
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866909299444285440 |
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| author | Park, Bae Jun Tomita, Naohito |
| author_facet | Park, Bae Jun Tomita, Naohito |
| contents | In this paper, we study pointwise estimates for linear and multilinear pseudo-differential operators with exotic symbols in terms of the Fefferman-Stein sharp maximal function and Hardy-Littlewood type maximal function. Especially in the multilinear case, we use a multi-sublinear variant of the classical Hardy-Littlewood maximal function introduced by Lerner, Ombrosi, Pérez, Torres, and Trujillo-González, which provides more elaborate and natural weighted estimates in the multilinear setting. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2310_14275 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Sharp maximal function estimates for linear and multilinear pseudo-differential operators Park, Bae Jun Tomita, Naohito Analysis of PDEs In this paper, we study pointwise estimates for linear and multilinear pseudo-differential operators with exotic symbols in terms of the Fefferman-Stein sharp maximal function and Hardy-Littlewood type maximal function. Especially in the multilinear case, we use a multi-sublinear variant of the classical Hardy-Littlewood maximal function introduced by Lerner, Ombrosi, Pérez, Torres, and Trujillo-González, which provides more elaborate and natural weighted estimates in the multilinear setting. |
| title | Sharp maximal function estimates for linear and multilinear pseudo-differential operators |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2310.14275 |