Finite Sections of Weighted Carleman's Inequality

2007/06/30 by Peng Gao, Gao, Peng
Mathematics · #26D15 #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #math.CA #msc:26D15

paper · pdf · doi:10.48550/arxiv.0707.0077

13 pages

arxiv created 2007/06/30 · arxiv updated 2009/12/01

Abstract

We study finite sections of weighted Carleman's inequality following the approach of De Bruijn. Similar to the unweighted case, we obtain an asymptotic expression for the optimal constant.

Related

• Finite Sections of Weighted Hardy's Inequality
• A Note on Carleman's Inequality
• L^p-L^q Carleman estimates with convex power weights
• On some convergences to the constant e and improvements of Carlemans' inequality
• Carleson Conditions for Weights: The quantitative small constant case