CRITERIA FOR AN ANALYTIC FUNCTION BELONGING TO THE Q_K SPACES  

作　　者：乌兰哈斯 

机构地区：[1]Department of Mathematics Shantou University

出　　处：《软件工程师》2009年第4期-,共12页Software Engineer

基　　金：Supported by NSF of China (10671115);; RFDP of China (20060560002);; NSF of Guangdong Province of China (06105648)

摘　　要：The author gives a mild integral condition in a nondecreasing function K : [0, ∞) → [0, ∞), which is sufficient and the best possible to ensure that f is a Bloch function if and only if f belongs to QK, a Mbius-invariant space of functions analytic in the unit disk. Their contributions are slight improvements of known results, and the proofs presented here are independently developed. The corresponding results for meromorphic case are also given.The author gives a mild integral condition in a nondecreasing function K : [0, ∞) → [0, ∞), which is sufficient and the best possible to ensure that f is a Bloch function if and only if f belongs to QK, a Mbius-invariant space of functions analytic in the unit disk. Their contributions are slight improvements of known results, and the proofs presented here are independently developed. The corresponding results for meromorphic case are also given.

分 类 号：O177[理学—数学]