Two-weight estimates for the square function and $t$-Haar multipliers
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arXiv
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| Autores principales: | , , , |
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| Formato: | Preprint |
| Publicado: |
2025
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| _version_ | 1866913667063218176 |
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| author | Chung, Daewon Moraes, Jean Carlo Pereyra, María Cristina Wick, Brett |
| author_facet | Chung, Daewon Moraes, Jean Carlo Pereyra, María Cristina Wick, Brett |
| contents | We present necessary and sufficient conditions on triples of weights $(u,v,w)$ for the boundedness of the dyadic weighted square function $S_w$ from $L^2(u)$ into $L^2(v)$. We use this characterization to obtain necessary and sufficient conditions for the boundedness of the $t$-Haar multipliers from $L^2(u)$ into $L^2(v)$ in terms of boundedness of the dyadic weighted square function. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_16272 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Two-weight estimates for the square function and $t$-Haar multipliers Chung, Daewon Moraes, Jean Carlo Pereyra, María Cristina Wick, Brett Classical Analysis and ODEs We present necessary and sufficient conditions on triples of weights $(u,v,w)$ for the boundedness of the dyadic weighted square function $S_w$ from $L^2(u)$ into $L^2(v)$. We use this characterization to obtain necessary and sufficient conditions for the boundedness of the $t$-Haar multipliers from $L^2(u)$ into $L^2(v)$ in terms of boundedness of the dyadic weighted square function. |
| title | Two-weight estimates for the square function and $t$-Haar multipliers |
| topic | Classical Analysis and ODEs |
| url | https://arxiv.org/abs/2501.16272 |