摘 要: | 1. Introduction.In 1962, Carleson [2] proved the well known Carleson measure theorem for Hardy space. In 1975. Hastings [5] obtained an analogous theorem for Bergman space. In this paper we prove a Carleson type theorem for the quasi-normal weighted Bergman space using a way other than Hastings'.As an application we obtain a theorem on multiplier theory. This generalizes
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