In this paper, it is shown that a Hilbert-type inequality with weight can be established where . As application, a quite sharp result of the Hardy-Littlewood inequality is obtained and some further extensions are obtained.
Cite this article
Gao Mingzhe, Wei Shongrong, He Leping, On the Hilbert Inequality With Weights. Z. Anal. Anwend. 21 (2002), no. 1, pp. 257–263DOI 10.4171/ZAA/1077