On weighted mean matrices whose $l^p$ norms are determined on decreasing sequences

Abstract

We give a condition on weighted mean matrices so that their $l^p$ norms are determined on decreasing sequences when the condition is satisfied. We apply our result to give a proof of a conjecture of Bennett and discuss some related results.

12 pages

References in corpus (2)

• On l^p norms of weighted mean matrices
• Characterization of the matrix whose norm is determined by its action on decreasing sequences:The exceptional cases

Cited by in corpus (1)

• On weighted remainder form of Hardy-type inequalities