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Vector-valued maximal multilinear Calderón–Zygmund operator with nonsmooth kernel on weighted Morrey space

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In this paper, vector-valued Maximal multilinear Calderón–Zygmund operator with nonsmooth kernel and its commutators generated by $$\textit{BMO}$$BMO function are studied. The purpose of this paper is to establish that these… Click to show full abstract

In this paper, vector-valued Maximal multilinear Calderón–Zygmund operator with nonsmooth kernel and its commutators generated by $$\textit{BMO}$$BMO function are studied. The purpose of this paper is to establish that these operators are bounded on certain multiple weighted Morrey space. Moreover, we also get the multiple weighed Morrey estimate for the vector-valued Calderón–Zygmund operator and its commutator generated by $$\textit{BMO}$$BMO function.

Keywords: zygmund operator; calder zygmund; vector valued

Journal Title: Journal of Pseudo-Differential Operators and Applications
Year Published: 2017

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