最小的M?bius不变空间到Bloch型空间的一个积分型算子

An integral-type operator from the minimal M?bius invariant space into the Bloch type space

利用分析和构造检验函数给出了积分型算子Cgφ艺从最小的Mobius不变空间到Bloch型空间的有界性和紧性的一些新的等价条件.这些等价条件更加完整地刻画了Cgφ,也为其他积分型算子的研究提供很好的参考价值.

By using analysis methods and constructing test functions we obtained some new equivalent conditions for the boundedness and compactness of the integral-type operatorCgφ from the minimal Mobius invariant space into the Bloch-type space. These equivalent conditions give perfect characterizations ofCgφ, which also provide good reference for the study of other integral-type operators.