Bloch空间上的微分复合算子差分的有界性及紧性的新刻画

A new characterization of boundedness and compactness for differences of differentiation composition operators between Bloch spaces

摘要:

令D为一维复平面上的单位圆盘，φ 和 ψ 是D的解析自映射.本文主要研究 Bloch 空间微分复合算子的差分C_φ D^n-C_ψ D^n，运用一种新的方式刻画了C_φ D^n-C_ψ D^n,的有界性和紧性.

Abstract:

Let φ and ψ be analytic self-maps of the open unit disk D in the complex plane. In this paper, we give some new characterizations of the boundedness and compactness for the differences of differentiation composition operators C_φ D^n-C_ψ D^n on the Bloch space B.