Jing‐Cheng Liu
Abstract
Givenα -1, p 0 and normal functionμon [0,1), the necessary and sufficient conditions are given for the composition operator Cφ to be bounded or compact from the weighted Bergman spaceαap to the μ-Bloch space β_μ on the unit ball of Cn. At the same time, several corollaries are obtained.
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Givenα -1, p 0 and normal functionμon [0,1), the necessary and sufficient conditions are given for the composition operator Cφ to be bounded or compact from the weighted Bergman spaceαap to the μ-Bloch space β_μ on the unit ball of Cn. At the same time, several corollaries are obtained.
Key concepts: Mathematics, Bloch space, Bergman space, Composition operator, Unit sphere, Bounded function, Bergman kernel, Pure mathematics