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Many researchers have expended their efforts on Hardy-Littlewood Maxima operator but little orno work has been done if the operator is acting on a power function.In this article, new characterization of Hardy-Littlewood Maxima operator bounded from(ℝ,nbsp;nbsp; nbsp;) to  (ℝ, nbsp;nbsp; nbsp;) for weight functions (nbsp;nbsp; nbsp;) and some non-trivial (nbsp;nbsp; nbsp;) are proved.br />Our novel methods generalized and sharpened Wo-sang Young results to perfection./p

Some Properties of Weighted Norm Inequalities for the Hardy-Littlewood Maxima Function