Composition Operators between <em>H<sup>∞</sup></em> and <em>α</em>-Bloch Spaces on the Polydisc
Stevo Stevic
Serbian Academy of Science, Beograd, Serbia

Abstract
Let be the unit polydisc of and \( \vp(z)=(\vp_1(z),\ldots,\vp_n(z)) \) 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.,\hspace{-0.3cm}
We give a necessary and sufficient condition for the composition operator \( C_{\vp} \) induced by \( \vp \) to be bounded and compact between and -Bloch space when
Cite this article
Stevo Stevic, Composition Operators between <em>H<sup>∞</sup></em> and <em>α</em>-Bloch Spaces on the Polydisc. Z. Anal. Anwend. 25 (2006), no. 4, pp. 457–466
DOI 10.4171/ZAA/1301