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| Format: | Preprint |
| Veröffentlicht: |
2024
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| Online-Zugang: | https://arxiv.org/abs/2409.16812 |
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| _version_ | 1866912047035318272 |
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| author | Chen, Yanhan |
| author_facet | Chen, Yanhan |
| contents | In this paper, we establish quantitative weak type estimates for operators that are dominated by (fractional) sparse operators in bilinear sense. Specifically, we derive bounds for both the restricted weak type $L^{p,1}\rightarrow L^{q,\infty}$ and the multiplier weak type, the latter of which has been previously considered by Cruz-Uribe and Sweeting. These estimates provide a precise quantification of the mapping properties of the considered operators, extending and refining the existing theory. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_16812 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Weighted Weak-type Inequalities For Fractionally Sparsely Dominated Operators Chen, Yanhan Classical Analysis and ODEs 42B20, 42B25 In this paper, we establish quantitative weak type estimates for operators that are dominated by (fractional) sparse operators in bilinear sense. Specifically, we derive bounds for both the restricted weak type $L^{p,1}\rightarrow L^{q,\infty}$ and the multiplier weak type, the latter of which has been previously considered by Cruz-Uribe and Sweeting. These estimates provide a precise quantification of the mapping properties of the considered operators, extending and refining the existing theory. |
| title | Weighted Weak-type Inequalities For Fractionally Sparsely Dominated Operators |
| topic | Classical Analysis and ODEs 42B20, 42B25 |
| url | https://arxiv.org/abs/2409.16812 |