Table of Contents Author Guidelines Submit a Manuscript
Journal of Function Spaces and Applications
Volume 2012, Article ID 454820, 20 pages
http://dx.doi.org/10.1155/2012/454820
Research Article

Weighted Composition Operators from Hardy Spaces into Logarithmic Bloch Spaces

1Department of Mathematical Sciences, George Mason University, Fairfax, VA 22030, USA
2Department of Mathematics, Jiaying University, Guangdong, Meizhou 514015, China

Received 2 February 2012; Accepted 18 March 2012

Academic Editor: Ruhan Zhao

Copyright © 2012 Flavia Colonna and Songxiao Li. 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. J. M. Anderson, J. Clunie, and Ch. Pommerenke, “On Bloch functions and normal functions,” Journal für die Reine und Angewandte Mathematik, vol. 270, pp. 12–37, 1974. View at Google Scholar · View at Zentralblatt MATH
  2. J. Arazy, Multipliers of Bloch Functions, vol. 54, University of Haifa Mathematics, 1982.
  3. L. Brown and A. L. Shields, “Multipliers and cyclic vectors in the Bloch space,” The Michigan Mathematical Journal, vol. 38, no. 1, pp. 141–146, 1991. View at Publisher · View at Google Scholar · View at Zentralblatt MATH
  4. K. R. M. Attele, “Toeplitz and Hankel operators on Bergman one space,” Hokkaido Mathematical Journal, vol. 21, no. 2, pp. 279–293, 1992. View at Google Scholar · View at Zentralblatt MATH
  5. R. Yoneda, “The composition operators on weighted Bloch space,” Archiv der Mathematik, vol. 78, no. 4, pp. 310–317, 2002. View at Publisher · View at Google Scholar · View at Zentralblatt MATH
  6. P. Galanopoulos, “On Blog to Qlogp pullbacks,” Journal of Mathematical Analysis and Applications, vol. 337, no. 1, pp. 712–725, 2008. View at Publisher · View at Google Scholar · View at Zentralblatt MATH
  7. S. Ye, “A weighted composition operator on the logarithmic Bloch space,” Bulletin of the Korean Mathematical Society, vol. 47, no. 3, pp. 527–540, 2010. View at Publisher · View at Google Scholar
  8. S. Ohno and R. Zhao, “Weighted composition operators on the Bloch space,” Bulletin of the Australian Mathematical Society, vol. 63, no. 2, pp. 177–185, 2001. View at Publisher · View at Google Scholar · View at Zentralblatt MATH
  9. S. Stević and R. P. Agarwal, “Weighted composition operators from logarithmic Bloch-type spaces to Bloch-type spaces,” Journal of Inequalities and Applications, Article ID 964814, 21 pages, 2009. View at Publisher · View at Google Scholar
  10. H. Wulan, D. Zheng, and K. 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
  11. C. C. Cowen and B. D. MacCluer, Composition Operators on Spaces of Analytic Functions, Studies in Advanced Mathematics, CRC Press, Boca Raton, Fla, USA, 1995.
  12. 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
  13. J. B. Garnett, Bounded Analytic Functions, Academic Press, New York, NY, USA, 1981.
  14. S. Li and S. Stević, “Weighted composition operators from Bergman-type spaces into Bloch spaces,” Indian Academy of Sciences. Proceedings. Mathematical Sciences, vol. 117, no. 3, pp. 371–385, 2007. View at Publisher · View at Google Scholar · View at Zentralblatt MATH