2013Abstract and Applied AnalysisOpen access

Multilinear Singular Integrals and their Commutators with Nonsmooth Kernels on Weighted Morrey Spaces

Songbai Wang, Yinsheng Jiang

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Abstract

Some multilinear maximal functions and the generalized Calderón-Zygmund operators and their commutators with nonsmooth kernels are studied. The purpose of this paper is to establish that these operators are bounded on certain product Morrey spaces . Based on the boundedness of these operators from to , we obtained that they are also bounded from to with , , and , .

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Some multilinear maximal functions and the generalized Calderón-Zygmund operators and their commutators with nonsmooth kernels are studied. The purpose of this paper is to establish that these operators are bounded on certain product Morrey spaces . Based on the boundedness of these operators from to , we obtained that they are also bounded from to with , , and , .

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Available abstract

Some multilinear maximal functions and the generalized Calderón-Zygmund operators and their commutators with nonsmooth kernels are studied. The purpose of this paper is to establish that these operators are bounded on certain product Morrey spaces . Based on the boundedness of these operators from to , we obtained that they are also bounded from to with , , and , .

Key concepts: Mathematics, Multilinear map, Bounded function, Path (computing), Matrix (chemical analysis), Product (mathematics), Pure mathematics, Combinatorics

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