On l^p norms of weighted mean matrices

2007/07/10 by Peng Gao, Gao, Peng
Computer Science · Mathematics · #47A30 #FOS: Mathematics #Functional Analysis (math.FA) #Holomorphic and Operator Theory #Mathematical Inequalities and Applications #Matrix Theory and Algorithms #math.FA #msc:47A30

paper · pdf · doi:10.48550/arxiv.0707.1473

18 pages

openalex publication_date 2007/07/10 · arxiv created 2008/08/31 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We study l^p operator norms of weighted mean matrices using the approaches of Kaluza-Szegö and Redheffer. As an application, we prove a conjecture of Bennett.

Citations

• A Note on Carleman's Inequality
• A Discrete Analogue of Opial's Inequality

Cited by

• A note on l² norms of weighted mean matrices

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