Summary: For a sequence , we denote the difference sequence by . Let and be sequences of real numbers such that , for all . The difference sequence spaces of weighted means are defined as , where is either of and the matrix is defined by
In this paper, we establish some identities or estimates for the operator norms and the Hausdorff measures of noncompactness of certain matrix operators on . Further, we characterize some classes of compact operators on these spaces by using the Hausdorff measure of noncompactness.