Transpose of the Weighted Mean Matrix on Weighted Sequence Spaces

摘要

In this paper, we concern with transpose of the weighted mean matrix (This is upper triangular matrix.) on weighted sequence spaces l_p(w) and L_p(w) which is considered by the author in [8] and [9] for special case of these operator, such as Copson on l_1(w) and d(w, 1). Also, in a recent paper[7], the author has discovered the upper bound for the Copson operator on the weighted sequence spaces d(w, p). Also, we establish analogous upper bound for the continuous case. The weighted mean matrices are considered by the author in [10].