Multilinear Commutators of Multilinear Square Operators Associated with New $BMO$ Functions and New Weight Functions
Multilinear Commutators of Multilinear Square Operators Associated with New $BMO$ Functions and New Weight Functions
Via the new weight $A_{\vec p}^{\infty}(\varphi)$ 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.
Comment: 36 pages, 1figure. arXiv admin note: text overlap with arXiv:2303.11704
Mathematics - Functional Analysis, multilinear commutator, Singular and oscillatory integrals (Calderón-Zygmund, etc.), Maximal functions, Littlewood-Paley theory, new multilinear square operator with generalized kernel, \(A_{\vec{p}}^{\theta}(\varphi)\) weight, 42B25, 42B35, Function spaces arising in harmonic analysis, multilinear iterative commutator
Mathematics - Functional Analysis, multilinear commutator, Singular and oscillatory integrals (Calderón-Zygmund, etc.), Maximal functions, Littlewood-Paley theory, new multilinear square operator with generalized kernel, \(A_{\vec{p}}^{\theta}(\varphi)\) weight, 42B25, 42B35, Function spaces arising in harmonic analysis, multilinear iterative commutator
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