α-Bloch空间到β-Bloch空间的广义积分算子的差分

Differences of Generalized Integration Operators from α-Bloch Spaces to β-Bloch Spaces

设φ,g是复平面ℂ中单位圆盘D上的解析映射,且φ(D)⊂D,n∈ ℕ。定义广义积分算子为本文旨在探究α-Bloch空间到β-Bloch空间上的广义积分算子差的有界性和紧性问题。

A generalized integration operator is defined by induced by holomorphic maps g and φ of the unit disk D, where φ(D)⊂D and n is a positive integer. In this paper, we investigate the boundedness and the compactness of the differences of two generalized integration operators from α-Bloch spaces to β-Bloch spaces.