摘要
The Hardy-Littlewood-PSlya （HLP） inequality [1] states that if a ∈ lp, b ∈ 1q and In this article, we prove the HLP inequality in the case where A = 1,p = q = 2 with a logarithm correction, as conjectured by Ding [2]：In addition, we derive an accurate estimate for the best constant for this inequality.
The Hardy-Littlewood-PSlya （HLP） inequality [1] states that if a ∈ lp, b ∈ 1q and In this article, we prove the HLP inequality in the case where A = 1,p = q = 2 with a logarithm correction, as conjectured by Ding [2]：In addition, we derive an accurate estimate for the best constant for this inequality.
基金
supported by the NSF grants DMS-0908097 and EAR-0934647
