关于带权的Hilbert不等式的一个上确界(英文)

A Supremum on Hilbert's Inequality with Weights

在这篇文章中，Hilbert不等式被进一步加强，讨论了形上的权函数、证明了与序列有关的常数λ＝1．4603545+是θ的上确界，从而使文[2]中所提出的一个问题（徐利治猜想）得到解决。

In this paper, the Hilbert inequality is further sharpened, in which the weightfunction of the form π-θ/(with θ＞0) is discussed. The constant λ= 1. 4603545+isproved to be supremum of θ. The problem mentioned in the paper [2] is solved.