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Abstract and Applied Analysis
Volume 2009 (2009), Article ID 161528, 8 pages
http://dx.doi.org/10.1155/2009/161528
Research Article

Composition Operators from the Hardy Space to the Zygmund-Type Space on the Upper Half-Plane

Mathematical Institute of the Serbian Academy of Sciences, Knez Mihailova 36/III, 11001 Beograd, Serbia

Received 14 December 2008; Accepted 23 February 2009

Academic Editor: Simeon Reich

Copyright © 2009 Stevo Stević. 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. P. Duren, Theory of Hp Spaces, Dover, New York, NY, USA, 2000.
  2. K. L. Avetisyan, “Hardy-Bloch type spaces and lacunary series on the polydisk,” Glasgow Mathematical Journal, vol. 49, no. 2, pp. 345–356, 2007. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  3. K. L. Avetisyan, “Weighted integrals and Bloch spaces of n-harmonic functions on the polydisc,” Potential Analysis, vol. 29, no. 1, pp. 49–63, 2008. View at Google Scholar · View at MathSciNet
  4. D. D. Clahane and S. Stević, “Norm equivalence and composition operators between Bloch/Lipschitz spaces of the ball,” Journal of Inequalities and Applications, vol. 2006, Article ID 61018, 11 pages, 2006. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  5. S. Li, “Fractional derivatives of Bloch type functions,” Sibirskiĭ Matematicheskiĭ Zhurnal, vol. 46, no. 2, pp. 394–402, 2005. View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  6. S. Li and S. Stević, “Weighted composition operators from α-Bloch space to H on the polydisc,” Numerical Functional Analysis and Optimization, vol. 28, no. 7-8, pp. 911–925, 2007. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  7. S. Li and S. Stević, “Weighted composition operators from H to the Bloch space on the polydisc,” Abstract and Applied Analysis, vol. 2007, Article ID 48478, 13 pages, 2007. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  8. S. Li and S. Stević, “Weighted composition operators between H and α-Bloch spaces in the unit ball,” Taiwanese Journal of Mathematics, vol. 12, no. 7, pp. 1625–1639, 2008. View at Google Scholar · View at MathSciNet
  9. S. Li and H. Wulan, “Characterizations of α-Bloch spaces on the unit ball,” Journal of Mathematical Analysis and Applications, vol. 343, no. 1, pp. 58–63, 2008. View at Publisher · View at Google Scholar · View at MathSciNet
  10. S. Stević, “Composition operators between H and α-Bloch spaces on the polydisc,” Zeitschrift für Analysis und ihre Anwendungen, vol. 25, no. 4, pp. 457–466, 2006. View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  11. S. Stević, “On Bloch-type functions with Hadamard gaps,” Abstract and Applied Analysis, vol. 2007, Article ID 39176, 8 pages, 2007. View at Publisher · View at Google Scholar · View at MathSciNet
  12. S. Stević, “Norm of weighted composition operators from Bloch space to Hμ on the unit ball,” Ars Combinatoria, vol. 88, pp. 125–127, 2008. View at Google Scholar · View at MathSciNet
  13. S. Yamashita, “Gap series and α-Bloch functions,” Yokohama Mathematical Journal, vol. 28, no. 1-2, pp. 31–36, 1980. View at Google Scholar · View at MathSciNet
  14. X. Zhu, “Generalized weighted composition operators from Bloch type spaces to weighted Bergman spaces,” Indian Journal of Mathematics, vol. 49, no. 2, pp. 139–150, 2007. View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  15. S. Li and S. Stević, “Volterra-type operators on Zygmund spaces,” Journal of Inequalities and Applications, vol. 2007, Article ID 32124, 10 pages, 2007. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  16. S. Li and S. Stević, “Generalized composition operators on Zygmund spaces and Bloch type spaces,” Journal of Mathematical Analysis and Applications, vol. 338, no. 2, pp. 1282–1295, 2008. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  17. S. Li and S. Stević, “Products of Volterra type operator and composition operator from H and Bloch spaces to Zygmund spaces,” Journal of Mathematical Analysis and Applications, vol. 345, no. 1, pp. 40–52, 2008. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  18. S. Li and S. Stević, “Weighted composition operators from Zygmund spaces into Bloch spaces,” Applied Mathematics and Computation, vol. 206, no. 2, pp. 825–831, 2008. View at Publisher · View at Google Scholar
  19. S. Stević, “On an integral operator from the Zygmund space to the Bloch-type space on the unit ball,” to appear in Glasgow Mathematical Journal.
  20. S. D. Sharma, A. K. Sharma, and S. Ahmed, “Composition operators between Hardy and Bloch-type spaces of the upper half-plane,” Bulletin of the Korean Mathematical Society, vol. 44, no. 3, pp. 475–482, 2007. View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  21. 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. View at Zentralblatt MATH · View at MathSciNet
  22. X. Fu and X. Zhu, “Weighted composition operators on some weighted spaces in the unit ball,” Abstract and Applied Analysis, vol. 2008, Article ID 605807, 8 pages, 2008. View at Publisher · View at Google Scholar · View at MathSciNet
  23. L. Luo and S. I. Ueki, “Weighted composition operators between weighted Bergman spaces and Hardy spaces on the unit ball of n,” Journal of Mathematical Analysis and Applications, vol. 326, no. 1, pp. 88–100, 2007. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  24. S. Stević, “Weighted composition operators between mixed norm spaces and Hα spaces in the unit ball,” Journal of Inequalities and Applications, vol. 2007, Article ID 28629, 9 pages, 2007. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  25. S. Stević, “Essential norms of weighted composition operators from the α-Bloch space to a weighted-type space on the unit ball,” Abstract and Applied Analysis, vol. 2008, Article ID 279691, 11 pages, 2008. View at Publisher · View at Google Scholar · View at MathSciNet
  26. S. I. Ueki and L. Luo, “Compact weighted composition operators and multiplication operaors between Hardy spaces,” Abstract and Applied Analysis, vol. 2008, Article ID 196498, 11 pages, 2008. View at Publisher · View at Google Scholar
  27. S. Ye, “Weighted composition operator between the little α-Bloch spaces and the logarithmic Bloch,” Journal of Computational Analysis and Applications, vol. 10, no. 2, pp. 243–252, 2008. View at Google Scholar · View at MathSciNet