【摘要】 给出了二连通域上Bloch函数的定义 ,研究了二连通域上Bloch函数的性质 .利用二连通域上的Bergman空间的再生核的性质 ,证明了Bergman空间H∞(Ω)为Bloch空间的子空间 ,由再生核诱导的积分算子是从L∞(Ω)到Bloch空间的有界算子更多还原

【Abstract】 The Bloch function on the two connected is defined. It is proved that H ∞(Ω) is a subspace of Bloch space, integral operator induced by reproducing kernel is a bounded operator from H ∞(Ω) to B .更多还原