Weak Type Estimates for Square Functions of Dunkl Heat Flows
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arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2021
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| _version_ | 1866908384382418944 |
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| author | Li, Huaiqian |
| author_facet | Li, Huaiqian |
| contents | The weak $(1,1)$ boundedness of the Littlewood--Paley--Stein square function for the Dunkl heat flow is proved via estimates on the Dunkl heat kernel of integral type and the Caldrón--Zygmund decomposition, which is the continuity of the recently work [arXiv:2003.11843] where the dimension-free $L^p$ boundedness of the same square function is studied. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2101_04056 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | Weak Type Estimates for Square Functions of Dunkl Heat Flows Li, Huaiqian Classical Analysis and ODEs Analysis of PDEs Probability The weak $(1,1)$ boundedness of the Littlewood--Paley--Stein square function for the Dunkl heat flow is proved via estimates on the Dunkl heat kernel of integral type and the Caldrón--Zygmund decomposition, which is the continuity of the recently work [arXiv:2003.11843] where the dimension-free $L^p$ boundedness of the same square function is studied. |
| title | Weak Type Estimates for Square Functions of Dunkl Heat Flows |
| topic | Classical Analysis and ODEs Analysis of PDEs Probability |
| url | https://arxiv.org/abs/2101.04056 |