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By applying the vector-valued inequalities for the Littlewood-Paley operators and their commutators on Lebesgue spaces with variable exponent, the boundedness of the Littlewood-Paley operators, including the Lusin area integrals, the Littlewood-Paley  g -functions and  g    μ  *-functions, and their commutators generated by BMO functions, is obtained on the Morrey spaces with variable exponent.

Littlewood-Paley Operators on Morrey Spaces with Variable Exponent