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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

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.

Linked References

  1. C. C. Cowen and B. D. MacCluer, Composition Operators on Spaces of Analytic Functions, CRC Press, Boca Raton, Fla, USA, 1994. View at Zentralblatt MATH
  2. J. H. Shapiro, Composition Operators and Classical Function Theory, Springer, New York, NY, USA, 1993.
  3. K. H. Zhu, Operator Theory in Function Spaces, vol. 139, Marcel Dekker, New York, NY, USA, 1990.
  4. K. Madigan and A. Matheson, “Compact composition operators on the Bloch space,” Transactions of the American Mathematical Society, vol. 347, no. 7, pp. 2679–2687, 1995. View at Publisher · View at Google Scholar · View at Zentralblatt MATH
  5. J. H. Shapiro, “The essential norm of a composition operator,” Annals of Mathematics, vol. 125, no. 2, pp. 375–404, 1987. View at Publisher · View at Google Scholar · View at Zentralblatt MATH
  6. S. Stević, R. Y. Chen, and Z. H. Zhou, “Weighted composition operators between Bloch-type spaces in the polydisk,” Sbornik Mathematics, vol. 201, no. 2, 2010.
  7. R. H. Zhao, “Essential norms of composition operators between Bloch type spaces,” Proceedings of the American Mathematical Society, vol. 138, no. 7, pp. 2537–2546, 2010. View at Publisher · View at Google Scholar · View at Zentralblatt MATH
  8. Z. H. Zhou and Y. Liu, “The essential norms of composition operators between generalized Bloch spaces in the polydisc and their applications,” Journal of Inequalities and Applications, vol. 2006, Article ID 90742, 22 pages, 2006. View at Publisher · View at Google Scholar · View at Zentralblatt MATH
  9. Z. H. Zhou and J. H. Shi, “Compact composition operators on the Bloch space in polydiscs,” Science in China Series A, vol. 44, no. 3, pp. 286–291, 2001. View at Publisher · View at Google Scholar · View at Zentralblatt MATH
  10. H. C. Wulan, D. C. Zheng, and K. H. Zhu, “Compact composition operators on BMOA and the Bloch space,” Proceedings of the American Mathematical Society, vol. 137, no. 11, pp. 3861–3868, 2009. View at Publisher · View at Google Scholar · View at Zentralblatt MATH