对在半平面中属于加权Hardy空间,不恒为零且在某一固定点列上为零的解析函数的存在性给出了充分必要条件。
A necessary and sufficient condition is given for the existence of an analytic flmction belonging to the weighted Hardy space in the half-plaae, which is not identically zero but is zero on a given sequence in the half-plane.