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Compact composition operators on the Bloch space in polydiscs

周泽华;史济怀

  Let Un be the unit polydisc of Cn and φ = (φ1, …, φn) a holomorphic self-map of Un. As the main result of the paper, it shows that the composition operator Cφ is compact on the Bloch space β(Un) if and only if for every ε > 0, there exists a δ > 0, such thatwhenever dist( φ( z), Un) < δ.……   
[关键词]:Bloch space;polydisc;composition operator;Bergman mertic.
[文献类型]:期刊
[文献出处]: 《Science in China2001年03期 Ser.A2001年03期
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