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Some Characterizations of Bloch Functions

Some Characterizations of Bloch Functions
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摘要 We define Bloch-type functions of C;(D) on the unit disk of complex plane C and characterize them in terms of weighted Lipschitz functions. We also discuss the boundedness of a composition operator C;acting between two Bloch-type spaces.These obtained results generalize the corresponding known ones to the setting of C;(D). We define Bloch-type functions of C^1(D) on the unit disk of complex plane C and characterize them in terms of weighted Lipschitz functions. We also discuss the boundedness of a composition operator C_φ acting between two Bloch-type spaces.These obtained results generalize the corresponding known ones to the setting of C^1(D).
作者 Guanghua He
出处 《Analysis in Theory and Applications》 CSCD 2018年第3期225-231,共7页 分析理论与应用(英文刊)
关键词 Bloch space MAJORANT composition operator Bloch space majorant composition operator
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