Liu, Jingcheng; Li, Juxiang; Zhang, Xuejun Characterizations of composition operators between Bloch type spaces on the unit ball again. (Chinese. English summary) Zbl 1140.47306 Acta Math. Sin., Chin. Ser. 50, No. 3, 711-720 (2007). Summary: In this paper, necessary and sufficient conditions are given for the composition operator \(C_\phi\) to be bounded or compact from Bloch type spaces \(\beta^p\) to \(\beta^q\) for all \(0<p<\infty\) and \(0<q<\infty\) on the unit ball of \(\mathbb C^n\). At the same time, several corollaries are obtained. Cited in 10 Documents MSC: 47B33 Linear composition operators 47B38 Linear operators on function spaces (general) 32A37 Other spaces of holomorphic functions of several complex variables (e.g., bounded mean oscillation (BMOA), vanishing mean oscillation (VMOA)) Keywords:Bloch type space; boundedness; compactness; unit ball PDFBibTeX XMLCite \textit{J. Liu} et al., Acta Math. Sin., Chin. Ser. 50, No. 3, 711--720 (2007; Zbl 1140.47306)