Composition Operators between and -Bloch Spaces on the Polydisc
Stevo Stevic
Serbian Academy of Science, Beograd, Serbia
![Composition Operators between $H^\infty$ and $\alpha$-Bloch Spaces on the Polydisc cover](/_next/image?url=https%3A%2F%2Fcontent.ems.press%2Fassets%2Fpublic%2Fimages%2Fserial-issues%2Fcover-zaa-volume-25-issue-4.png&w=3840&q=90)
Abstract
Let be the unit polydisc of and a holomorphic self-map of Let denote the space of all holomorphic functions on the space of all bounded holomorphic functions on and the -Bloch space, i.e.,
We give a necessary and sufficient condition for the composition operator induced by to be bounded and compact between and -Bloch space when
Cite this article
Stevo Stevic, Composition Operators between and -Bloch Spaces on the Polydisc. Z. Anal. Anwend. 25 (2006), no. 4, pp. 457–466
DOI 10.4171/ZAA/1301