in this paper, we reconstruct the hardy-littlewood’s inequality byusing the method of the weight coefficient and the technic of real analysis includinga best constant factor. an open problem is raised.

In this paper, we reconstruct the Hardy-Littlewood’s inequality byusing the method of the weight coefficient and the technic of real analysis includinga best constant factor. An open problem is raised.

In this paper, by using the way of weight coecients and technique of real analysis, a multidimensionaldiscrete Hilbert-type inequality with a best possible constant factor is given. The equivalentform, the operator expression with the norm are considered.