Many researchers have expended their efforts on Hardy-Littlewood Maxima operator but little or no 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>