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Multilinear Strongly Singular Integral Operators with Generalized Kernels on RD-Spaces
Kang Chen, Yan Lin, Shuhui Yang
In this article, we introduce a class of multilinear strongly singular integral operators with generalized kernels on the RD-space. The boundedness of these operators on weighted L…
Multilinear Fractional Integral Operators with Generalized Kernels
Yan Lin, Yuhang Zhao, Shuhui Yang
In this article, we introduce a class of multilinear fractional integral operators with generalized kernels that are weaker than the Dini kernel condition. We establish the bounded…
New Multilinear Littlewood--Paley Function and Commutator on weighted Lebesgue Spaces
Huimin Sun, Shuhui Yang, Yan Lin
Via the new weight function , the authors introduce a new class of multilinear Littlewood--Paley functions and establish the boundedness on weighted Le…
Multilinear Commutators of Multilinear Square Operators Associated with New Functions and New Weight Functions
Chunliang Li, Shuhui Yang, Yan Lin
Via the new weight and the new function, the authors introduce a new class of multilinear square operators with generalized kernels. The boundedn…