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International Journal of Mathematics and Mathematical Sciences
Volume 2006 (2006), Article ID 86259, 17 pages
http://dx.doi.org/10.1155/IJMMS/2006/86259

Riemann-Stieltjes operators between Bergman-type spaces and α-Bloch spaces

1Department of Mathematics, Shantou University, Shantou, Guangdong 515063, China
2Department of Mathematics, Jiaying University, Meizhou, Guangdong 514015, China

Received 8 December 2005; Revised 11 May 2006; Accepted 28 May 2006

Copyright © 2006 Hindawi Publishing Corporation. 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. A. Aleman and J. A. Cima, “An integral operator on Hp and Hardy's inequality,” Journal d'Analyse Mathématique, vol. 85, pp. 157–176, 2001. View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  2. A. Aleman and A. G. Siskakis, “An integral operator on Hp,” Complex Variables, vol. 28, no. 2, pp. 149–158, 1995. View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  3. A. Aleman and A. G. Siskakis, “Integration operators on Bergman spaces,” Indiana University Mathematics Journal, vol. 46, no. 2, pp. 337–356, 1997. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  4. J. Arazy, S. D. Fisher, and J. Peetre, “Möbius invariant function spaces,” Journal für die reine und angewandte Mathematik, vol. 363, pp. 110–145, 1985. View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  5. C. C. Cowen and B. D. MacCluer, Composition Operators on Spaces of Analytic Functions, Studies in Advanced Mathematics, CRC Press, Florida, 1995. View at Zentralblatt MATH · View at MathSciNet
  6. G. H. Hardy and J. E. Littlewood, “Some properties of fractional integrals II,” Mathematische Zeitschrift, vol. 34, no. 1, pp. 403–439, 1932. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  7. Z. J. Hu, “Extended Cesàro operators on mixed norm spaces,” Proceedings of the American Mathematical Society, vol. 131, no. 7, pp. 2171–2179, 2003. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  8. 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 · View at MathSciNet
  9. J. Miao, “The Cesàro operator is bounded on Hp for 0<p<1,” Proceedings of the American Mathematical Society, vol. 116, no. 4, pp. 1077–1079, 1992. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  10. F. Pérez-González and J. Rättyä, “Forelli-Rudin estimates, Carleson measures and F(p,q,s)-functions,” Journal of Mathematical Analysis and Applications, vol. 315, no. 2, pp. 394–414, 2006. View at Google Scholar · View at MathSciNet
  11. C. Pommerenke, “Schlichte Funktionen und analytische Funktionen von beschränkter mittlerer Oszillation,” Commentarii Mathematici Helvetici, vol. 52, no. 4, pp. 591–602, 1977. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  12. W. Rudin, Function Theory in the Unit Ball of n, vol. 241 of Fundamental Principles of Mathematical Science, Springer, New York, 1980. View at Zentralblatt MATH · View at MathSciNet
  13. J.-H. Shi and G.-B. Ren, “Boundedness of the Cesàro operator on mixed norm spaces,” Proceedings of the American Mathematical Society, vol. 126, no. 12, pp. 3553–3560, 1998. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  14. A. L. Shields and D. L. Williams, “Bounded projections, duality, and multipliers in spaces of analytic functions,” Transactions of the American Mathematical Society, vol. 162, pp. 287–302, 1971. View at Publisher · View at Google Scholar · View at MathSciNet
  15. A. G. Siskakis, “Composition semigroups and the Cesàro operator on Hp,” Journal of the London Mathematical Society. Second Series, vol. 36, no. 1, pp. 153–164, 1987. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  16. A. G. Siskakis, “The Cesàro operator is bounded on H1,” Proceedings of the American Mathematical Society, vol. 110, no. 2, pp. 461–462, 1990. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  17. A. G. Siskakis and R. Zhao, “A Volterra type operator on spaces of analytic functions,” in Function Spaces (Edwardsville, IL, 1998), vol. 232 of Contemp. Math., pp. 299–311, American Mathematical Society, Rhode Island, 1999. View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  18. S. Stević, “The generalized Cesàro operator on Dirichlet spaces,” Studia Scientiarum Mathematicarum Hungarica, vol. 40, no. 1-2, pp. 83–94, 2003. View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  19. S. Stević, “On an integral operator on the unit ball in n,” Journal of Inequalities and Applications, vol. 2005, no. 1, pp. 81–88, 2005. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  20. J. Xiao, “Cesàro-type operators on Hardy, BMOA and Bloch spaces,” Archiv der Mathematik, vol. 68, no. 5, pp. 398–406, 1997. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  21. J. Xiao, “Riemann-Stieltjes operators on weighted Bloch and Bergman spaces of the unit ball,” Journal of the London Mathematical Society. Second Series, vol. 70, no. 1, pp. 199–214, 2004. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  22. R. Yoneda, “Pointwise multipliers from BMOAα to BMOAβ,” Complex Variables, vol. 49, no. 14, pp. 1045–1061, 2004. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  23. X. Zhang, J. Xiao, and Z. Hu, “The multipliers between the mixed norm spaces in n,” Journal of Mathematical Analysis and Applications, vol. 311, no. 2, pp. 664–674, 2005. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  24. R. Zhao, “Composition operators from Bloch type spaces to Hardy and Besov spaces,” Journal of Mathematical Analysis and Applications, vol. 233, no. 2, pp. 749–766, 1999. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  25. K. H. Zhu, Operator Theory in Function Spaces, vol. 139 of Monographs and Textbooks in Pure and Applied Mathematics, Marcel Dekker, New York, 1990. View at Zentralblatt MATH · View at MathSciNet