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In this paper, we prove strong type, weak type inequalities ofHardy-Littlewood maximal operator and fractional Hardy-Littlewood maximaloperator on variable sequence spaces lp(Z). This is achieved usingCalderon-Zygmund decomposition for sequences, properties of modular functionaland Log Holder continuity.

The boundedness of Fractional Hardy-Littlewood maximal operator on variable lp(Z) spaces using Calderon-Zygmund decomposition