Abstract and Applied Analysis
Volume 2012 (2012), Article ID 732709, 7 pages
http://dx.doi.org/10.1155/2012/732709
Research Article

Compact Composition Operators between Bloch Type Spaces in the Polydisk

Zhong-Shan Fang1,2

1Department of Mathematics, Tianjin University, Tianjin 300072, China
2Department of Mathematics, Tianjin Polytechnic University, Tianjin 300387, China

Received 11 September 2012; Accepted 9 October 2012

Academic Editor: Jinhu Lü

Copyright © 2012 Zhong-Shan Fang. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

Wulan et al. (2009), Wulan et al. characterized the compactness of composition operators on the Bloch space in the unit disk by the th power of the induced analytic function. This paper will generalize the result to the Bloch type space in the polydisk.