Multilinear Commutators of Multilinear Square Operators Associated with New $BMO$ Functions and New Weight Functions
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arXiv
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| Format: | Preprint |
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2024
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| _version_ | 1866913244009988096 |
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| author | Li, Chunliang Yang, Shuhui Lin, Yan |
| author_facet | Li, Chunliang Yang, Shuhui Lin, Yan |
| contents | Via the new weight $A_{\vec p}^{\infty}(φ)$ and the new $BMO$ function, the authors introduce a new class of multilinear square operators $T$ with generalized kernels. The boundedness of multilinear commutators and multilinear iterative commutators generated by $T$ and the new $BMO$ function on weighted Lebesgue spaces and weighted Morrey spaces is obtained, respectively. The results of this article contain some known conclusions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_15766 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Multilinear Commutators of Multilinear Square Operators Associated with New $BMO$ Functions and New Weight Functions Li, Chunliang Yang, Shuhui Lin, Yan Functional Analysis 42B25, 42B35 Via the new weight $A_{\vec p}^{\infty}(φ)$ and the new $BMO$ function, the authors introduce a new class of multilinear square operators $T$ with generalized kernels. The boundedness of multilinear commutators and multilinear iterative commutators generated by $T$ and the new $BMO$ function on weighted Lebesgue spaces and weighted Morrey spaces is obtained, respectively. The results of this article contain some known conclusions. |
| title | Multilinear Commutators of Multilinear Square Operators Associated with New $BMO$ Functions and New Weight Functions |
| topic | Functional Analysis 42B25, 42B35 |
| url | https://arxiv.org/abs/2402.15766 |