Cancellative sparse domination
Fuente:
arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2026
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| _version_ | 1866918493345021952 |
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| author | Alonso, José M. Conde Lorist, Emiel Rey, Guillermo |
| author_facet | Alonso, José M. Conde Lorist, Emiel Rey, Guillermo |
| contents | We present a general sparse domination principle which respects the cancellative structure of the functions under study. We obtain sparse domination results in general measure spaces, including general martingale settings in one and two parameters, and in the Euclidean setting. In the one-parameter martingale setting, we obtain a sparse characterization of the $H^1$ norm. The proofs make critical use of precise level-set estimates for generalized versions of medians. Our results imply new, quantitatively sharp, weighted results for martingales and Calderón-Zygmund operators acting on $H^p$ spaces. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_08446 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Cancellative sparse domination Alonso, José M. Conde Lorist, Emiel Rey, Guillermo Classical Analysis and ODEs Probability 42B20, 60G46, 42B25, 42B30 We present a general sparse domination principle which respects the cancellative structure of the functions under study. We obtain sparse domination results in general measure spaces, including general martingale settings in one and two parameters, and in the Euclidean setting. In the one-parameter martingale setting, we obtain a sparse characterization of the $H^1$ norm. The proofs make critical use of precise level-set estimates for generalized versions of medians. Our results imply new, quantitatively sharp, weighted results for martingales and Calderón-Zygmund operators acting on $H^p$ spaces. |
| title | Cancellative sparse domination |
| topic | Classical Analysis and ODEs Probability 42B20, 60G46, 42B25, 42B30 |
| url | https://arxiv.org/abs/2603.08446 |