On $l^p$ norms of factorable matrices

Abstract

We study $l^p$ operator norms of factorable matrices and related results. We give applications to $l^p$ operator norms of weighted mean matrices and Copson's inequalities. We also apply the method in this paper to study the best constant in an inequality of Hardy, Littlewood and Pólya.

16 pages

Cited by in corpus (1)

• Some reverse $l_p$-type inequalities involving certain quasi monotone sequences