NEW CHARACTERIZATIONS OF COMPOSITION OPERATORS BETWEEN BLOCH TYPE SPACES IN THE UNIT BALL

Title & Authors
NEW CHARACTERIZATIONS OF COMPOSITION OPERATORS BETWEEN BLOCH TYPE SPACES IN THE UNIT BALL
Fang, Zhong-Shan; Zhou, Ze-Hua;

Abstract
In this paper, we give new characterizations of the boundedness and compactness of composition operators $\small{C_{\varphi}}$ between Bloch type spaces in the unit ball $\small{\mathbb{B}^n}$, in terms of the power of the components of $\small{{\varphi}}$, where $\small{{\varphi}}$ is a holomorphic self-map of $\small{\mathbb{B}^n}$.
Keywords
composition operator;compactness;Bloch type spaces;unit ball;several complex variables;
Language
English
Cited by
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