Multilinear $\theta$-type Calderon--Zygmund operators and their commutators on products of weighted amalgam spaces
| Autor: | Han, Xia, Wang, Hua |
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| Rok vydání: | 2023 |
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| Druh dokumentu: | Working Paper |
| Popis: | In this paper, we first introduce several new classes of weighted amalgam spaces. Then we discuss both strong type and weak type estimates for certain multilinear $\theta$-type Calder\'on--Zygmund operators $T_\theta$ recently introduced in the literature on products of these spaces with multiple weights. Furthermore, the strong type and weak end-point estimates for both multilinear commutators and iterated commutators of $T_\theta$ and pointwise multiplication with BMO functions are established as well. Comment: 54 pages. arXiv admin note: substantial text overlap with arXiv:2302.05570 |
| Databáze: | arXiv |
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