Table of Contents
Journal of Operators
Volume 2015, Article ID 718257, 10 pages
http://dx.doi.org/10.1155/2015/718257
Research Article

Composition Operators from -Bloch Space to -Bloch Space on the Fourth Cartan-Hartogs Domains

School of Mathematics and Statistics, Jiangsu Normal University, Xuzhou, Jiangsu 221116, China

Received 15 June 2015; Revised 22 August 2015; Accepted 17 September 2015

Academic Editor: Ruhan Zhao

Copyright © 2015 Jianbing Su and Chao Zhang. 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. 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 MathSciNet
  2. R. F. Andez and C. Julio, “Composition operators between μ-Bloch spaces,” Extracta Mathematicae, vol. 26, no. 1, pp. 75–88, 2011. View at Google Scholar
  3. Z. H. Zhou and J. H. Shi, “Compact composition operators on the Bloch space in polydiscs,” Science in China. Series A. Mathematics, vol. 44, no. 3, pp. 286–291, 2001. View at Publisher · View at Google Scholar · View at MathSciNet
  4. J. F. Li, “Composition operators from p-Bloch spaces to little q-Bloch spaces on the unit ball of Cn,” Acta Mathematica Scientia, vol. 30, no. 3, pp. 1012–1020, 2010. View at Publisher · View at Google Scholar
  5. Z. H. Zhou and H. G. Zeng, “Composition operators between p-BLOch space and q-BLOch space in the unit ball,” Progress in Natural Science. English Edition, vol. 13, no. 3, pp. 233–236, 2003. View at Publisher · View at Google Scholar · View at MathSciNet
  6. F. R. Allen and F. Colonna, “WEighted composition operators on the Bloch space of a bounded homogeneous domain,” in Topics in Operator Theory, Volume 1, Operators, Matrices and Analytic Functions, pp. 11–37, Birkhäuser, Basel, Switzerland, 2010. View at Publisher · View at Google Scholar
  7. J. H. Shi and L. Luo, “Composition operators on the Bloch space of several complex variables,” Acta Mathematica Sinica, vol. 16, no. 1, pp. 85–98, 2000. View at Publisher · View at Google Scholar · View at MathSciNet
  8. R. M. Timoney, “Bloch functions in several complex variables,” The Bulletin of the London Mathematical Society, vol. 12, no. 4, pp. 241–267, 1980. View at Publisher · View at Google Scholar · View at MathSciNet
  9. Z. H. Zhou and J. H. Shi, “Compactness of composition operators on the Bloch space in classical bounded symmetric domains,” The Michigan Mathematical Journal, vol. 50, no. 2, pp. 381–405, 2002. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  10. W. P. Yin, “The Bergman kernels on super-cartan domains of the first type,” Science in China Series A: Mathematics, vol. 43, no. 1, pp. 13–21, 2000. View at Publisher · View at Google Scholar · View at MathSciNet
  11. Q. K. Lu, The Classical Manifolds and the Classical Domains, Shanghai Scientific and Technical Publisher, Shanghai, China, 1963 (Chinese).
  12. L. K. Hua, “An Inequality on determinant,” Acta Mathematica Sinica, vol. 5, pp. 463–470, 1955. View at Google Scholar
  13. J. B. Su, X. X. Miao, and H. J. Li, “Generalizations of Hua's inequalities and an application,” Journal of Mathematical Inequalities, vol. 9, no. 1, pp. 27–45, 2015. View at Publisher · View at Google Scholar · View at MathSciNet