Lower bounds of Copson type for the transpose of matrices on weighted sequence spaces

Here, we focus on the evaluation of Lw,p(At) for a lower triangular matrix A, where, 0 < p < 1. In particular, we apply our results to summability matrices, weighted mean matrices, N¨orlund matrices. Our results also generalize some results in Chen and Wang [C.-P. Chen and K.-Z. Wang, J. Math. Anal. Appl. 341 (2008) 1284-1294.], Foroutannia and Lashkaripour [D. Foroutannia and R. Lashkaripour, Lobachevskii J. Math. 27 (2007) 15-29.], and Lashkaripour and Foroutannia [R. Lashkaripour and D. Foroutannia, J. Sci. Islam. Repub. Iran 18 (2007) 49-56.].