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Parametric Littlewood-Paley operators on variable Herz-Morrey spaces

Parametric Littlewood-Paley operators on variable Herz-Morrey spaces

Let α(•) ∈ L ∞ (R n ) and p(•) : R n → (0, ∞) be variable exponent functions satisfying the globally log-Hölder continuous condition.In this paper, the authors obtain the boundedness of parametric Littlewood-Paley operators and their commutators generated by BMO functions on variable Herz-Morrey spaces.All these results …