CRITERIA FOR AN ANALYTIC FUNCTION BELONGING TO QK SPACES

doi:10.1016/S0252-9602(09)60004-7

数学物理学报(英文版)

CRITERIA FOR AN ANALYTIC FUNCTION BELONGING TO Q_K SPACES

乌兰哈斯

Department of Mathematics, Shantou University, Shantou 515063, China

收稿日期:2006-10-08 修回日期:1900-01-01 出版日期:2009-02-20 发布日期:2009-02-20
通讯作者: 乌兰哈斯
基金资助:
Supported by NSF of China (10671115), RFDP of China (20060560002) and NSF of Guangdong Province of China (06105648)

CRITERIA FOR AN ANALYTIC FUNCTION BELONGING TO Q_K SPACES

Hasi Wulan

Department of Mathematics, Shantou University, Shantou 515063, China

Received:2006-10-08 Revised:1900-01-01 Online:2009-02-20 Published:2009-02-20
Contact: Hasi Wulan

摘要/Abstract

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 Q_K, a Möbius-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.

关键词: Areally mean q-valent, circumferentially mean q-valent, Q_K spaces

Abstract:

Key words: Areally mean q-valent, circumferentially mean q-valent, Q_K spaces

中图分类号:

30D45

乌兰哈斯. CRITERIA FOR AN ANALYTIC FUNCTION BELONGING TO Q_K SPACES[J]. 数学物理学报(英文版), 2009, 29(1): 33-44.

Hasi Wulan. CRITERIA FOR AN ANALYTIC FUNCTION BELONGING TO Q_K SPACES[J]. Acta mathematica scientia,Series B, 2009, 29(1): 33-44.

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CRITERIA FOR AN ANALYTIC FUNCTION BELONGING TO Q_K SPACES

CRITERIA FOR AN ANALYTIC FUNCTION BELONGING TO Q_K SPACES

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