Boundedness of Littlewood-Paley operators and their commutators on Herz-Morrey spaces with variable exponent
نویسندگان
چکیده
The aim of this paper is to establish the vector-valued inequalities for Littlewood-Paley operators, including the Lusin area integrals, the Littlewood-Paley g-functions and g∗μ-functions, and their commutators on the Herz-Morrey spaces with variable exponentMK̇ p,q(·)(R n). By applying the properties of Lp(·)(Rn) spaces and the vector-valued inequalities for Littlewood-Paley operators and their commutators generated by BMO function on Lp(·)(Rn), the boundedness of the vector-valued Littlewood-Paley operators and their commutators is obtained onMK̇ p,q(·)(R n). MSC: 42B20; 42B25; 42B35
منابع مشابه
Littlewood-Paley Operators on Morrey Spaces with Variable Exponent
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.
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