Boundedness of multilinear singular integrals on central Morrey spaces with variable exponents

Abstract

We prove the boundedness for a class of multi-sublinear singular integral operators on the product of central Morrey spaces with variable exponents. Based on this result, we obtain the boundedness for the multilinear singular integral operators and two kinds of multilinear singular integral commutators on the above spaces.

Key words： Multilinear singular integral; variable exponent; central Morrey space

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