Sparse domination results for compactness on weighted spaces
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2019
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| _version_ | 1866911962261094400 |
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| author | Stockdale, Cody B. Villarroya, Paco Wick, Brett D. |
| author_facet | Stockdale, Cody B. Villarroya, Paco Wick, Brett D. |
| contents | By means of appropriate sparse bounds, we deduce compactness on weighted $L^p(w)$ spaces, $1<p<\infty$, for all Calderón-Zygmund operators having compact extensions on $L^2(\mathbb{R}^n)$. Similar methods lead to new results on boundedness and compactness of Haar multipliers on weighted spaces. In particular, we prove weighted bounds for weights in a class strictly larger than the typical $A_p$ class. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1912_10290 |
| institution | arXiv |
| publishDate | 2019 |
| record_format | arxiv |
| spellingShingle | Sparse domination results for compactness on weighted spaces Stockdale, Cody B. Villarroya, Paco Wick, Brett D. Classical Analysis and ODEs 42B20 By means of appropriate sparse bounds, we deduce compactness on weighted $L^p(w)$ spaces, $1<p<\infty$, for all Calderón-Zygmund operators having compact extensions on $L^2(\mathbb{R}^n)$. Similar methods lead to new results on boundedness and compactness of Haar multipliers on weighted spaces. In particular, we prove weighted bounds for weights in a class strictly larger than the typical $A_p$ class. |
| title | Sparse domination results for compactness on weighted spaces |
| topic | Classical Analysis and ODEs 42B20 |
| url | https://arxiv.org/abs/1912.10290 |