Abstract and Applied Analysis
Volume 2014 (2014), Article ID 892146, 8 pages
http://dx.doi.org/10.1155/2014/892146
Research Article
Composition Operators from Certain -Bloch Spaces to Spaces
School of Mathematics and Statistics, Wuhan University, Wuhan 430072, China
Received 26 August 2014; Revised 4 December 2014; Accepted 4 December 2014; Published 22 December 2014
Academic Editor: Narcisa C. Apreutesei
Copyright © 2014 Chunyu Tan and Maofa Wang. 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.
Linked References
- J. Anderson, J. Claunie, and C. Pommerenke, “On the Bloch functions and normal functions,” Journal für die Reine und Angewandte Mathematik, vol. 270, pp. 12–37, 1974. View at Google Scholar
- K. Zhu, Operator Theory in Function Spaces, vol. 139 of Monographs and Textbooks in Pure and Applied Mathematics, Marcel Dekker, New York, NY, USA, 1990. View at MathSciNet
- K. Zhu, “Bloch type spaces of analytic functions,” Rocky Mountain Journal of Mathematics, vol. 23, no. 3, pp. 1143–1177, 1993. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
- H. Chen and P. Gauthier, “Composition operators on -Bloch spaces,” Canadian Journal of Mathematics, vol. 61, no. 1, pp. 50–75, 2009. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
- J. Xiao, Holomorphic Q Classes, vol. 1767 of Lecture Notes in Mathematics, Springer, New York, NY, USA, 2001.
- S. Li, “Composition operators on spaces,” Georgian Mathematical Journal, vol. 12, no. 3, pp. 505–514, 2005. View at Publisher · View at Google Scholar · View at MathSciNet
- K. Madigan and A. Matheson, “Compact composition operators on the Bloch space,” Transactions of the American Mathematical Society, vol. 372, pp. 2679–2687, 1995. View at Google Scholar
- Z. Lou, “Composition operators on spaces,” Journal of the Australian Mathematical Society, vol. 70, no. 2, pp. 161–188, 2001. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
- H. Li and P. Liu, “Composition operators between generally weighted Bloch space and space,” Banach Journal of Mathematical Analysis, vol. 3, no. 1, pp. 99–110, 2009. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
- H. Li, P. Liu, and M. Wang, “Composition operators between generally weighted Bloch spaces of polydisk,” JIPAM: Journal of Inequalities in Pure and Applied Mathematics, vol. 8, no. 3, article 85, 2007. View at Google Scholar · View at MathSciNet
- S. Stević, “On new Bloch-type spaces,” Applied Mathematics and Computation, vol. 215, no. 2, pp. 841–849, 2009. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
- S. Stević, “Bloch-type functions with Hadamard gaps,” Applied Mathematics and Computation, vol. 208, no. 2, pp. 416–422, 2009. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
- M. Tjani, Compact composition operators on some Möbius invariant Banach space [Ph.D. dissertation], Machigan State University, 1996.
- W. Smith and R. Zhao, “Composition operators mapping into the spaces,” Analysis, vol. 17, no. 2-3, pp. 239–263, 1997. View at Google Scholar · View at MathSciNet
- V. Müller, Spectral Theory of Linear Operators, Birkhäuser, Boston, Mass, USA, 2003.
- K. J. Wirths and J. Xiao, “Recognizing functions per Dirichlet space structure,” Bulletin of the Belgian Mathematical Society, vol. 8, no. 1, pp. 47–59, 2001. View at Google Scholar · View at MathSciNet