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| Auteurs principaux: | , , |
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| Format: | Preprint |
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2024
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| Accès en ligne: | https://arxiv.org/abs/2403.04285 |
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| _version_ | 1866916190826266624 |
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| author | Sun, Huimin Yang, Shuhui Lin, Yan |
| author_facet | Sun, Huimin Yang, Shuhui Lin, Yan |
| contents | Via the new weight function $A_{\vec p}^{θ}(φ)$, the authors introduce a new class of multilinear Littlewood--Paley $g_λ^{*}$ functions and establish the boundedness on weighted Lebesgue spaces. In addition, the authors obtain the boundedness of the multilinear commutator and multilinear iterated commutator generated by the multilinear Littlewood--Paley $g_λ^{*}$ function and the new $BMO$ function on weighted Lebesgue spaces. The results in this article include the known results in \cite{XY2015,SXY2014}. When $m=1$, that is, in the case of one-linear, our conclusions are also new, further extending the results in \cite{S1961}. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_04285 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | New Multilinear Littlewood--Paley $g_λ^{*}$ Function and Commutator on weighted Lebesgue Spaces Sun, Huimin Yang, Shuhui Lin, Yan Functional Analysis 42B25, 42B35 Via the new weight function $A_{\vec p}^{θ}(φ)$, the authors introduce a new class of multilinear Littlewood--Paley $g_λ^{*}$ functions and establish the boundedness on weighted Lebesgue spaces. In addition, the authors obtain the boundedness of the multilinear commutator and multilinear iterated commutator generated by the multilinear Littlewood--Paley $g_λ^{*}$ function and the new $BMO$ function on weighted Lebesgue spaces. The results in this article include the known results in \cite{XY2015,SXY2014}. When $m=1$, that is, in the case of one-linear, our conclusions are also new, further extending the results in \cite{S1961}. |
| title | New Multilinear Littlewood--Paley $g_λ^{*}$ Function and Commutator on weighted Lebesgue Spaces |
| topic | Functional Analysis 42B25, 42B35 |
| url | https://arxiv.org/abs/2403.04285 |