Abstract
In this paper, we establish the weighted sharp maximal function inequalities for a multilinear operator associated to a singular integral operator with general kernels. As an application, we obtain the boundedness of the operator on weighted Lebesgue and Morrey spaces. MSC:42B20, 42B25.
Highlights
Introduction and preliminariesAs the development of singular integral operators, their commutators and multilinear operators have been well studied
In [ – ], the authors prove that the commutators generated by singular integral operators and BMO functions are bounded on Lp(Rn) for < p < ∞
In [, ], the boundedness for the commutators generated by singular integral operators and weighted BMO and Lipschitz functions on Lp(Rn) ( < p < ∞) spaces is obtained
Summary
Introduction and preliminariesAs the development of singular integral operators (see [ – ]), their commutators and multilinear operators have been well studied.
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