Littlewood-Paley Operators on Morrey Spaces with Variable Exponent

Abstract EN

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.