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Abstract and Applied Analysis
Volume 2011, Article ID 590853, 13 pages
http://dx.doi.org/10.1155/2011/590853
Research Article

Essential Norm of Composition Operators on Banach Spaces of Hölder Functions

1Departamento de Álgebra y Análisis Matemático, Universidad de Almería, 04120 Almería, Spain
2Departamento de Análisis Matemático, Facultad de Matemáticas, Universidad de Sevilla, Avenida Reina, Mercedes s/n, 41012 Sevilla, Spain

Received 29 June 2011; Revised 30 September 2011; Accepted 30 September 2011

Academic Editor: Simeon Reich

Copyright © 2011 A. Jiménez-Vargas et al. 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. N. Weaver, Lipschitz Algebras, World Scientific Publishing, River Edge, NJ, USA, 1999.
  2. N. J. Kalton, “Spaces of Lipschitz and Hölder functions and their applications,” Collectanea Mathematica, vol. 55, no. 2, pp. 171–217, 2004. View at Google Scholar · View at Zentralblatt MATH
  3. A. Montes-Rodríguez, “The essential norm of a composition operator on Bloch spaces,” Pacific Journal of Mathematics, vol. 188, no. 2, pp. 339–351, 1999. View at Publisher · View at Google Scholar · View at Zentralblatt MATH
  4. A. Montes-Rodríguez, “Weighted composition operators on weighted Banach spaces of analytic functions,” Journal of the London Mathematical Society., vol. 61, no. 3, pp. 872–884, 2000. View at Publisher · View at Google Scholar · View at Zentralblatt MATH
  5. P. Galindo and M. Lindström, “Essential norm of operators on weighted Bergman spaces of infinite order,” Journal of Operator Theory, vol. 64, no. 2, pp. 387–399, 2010. View at Google Scholar · View at Zentralblatt MATH
  6. P. Galindo, M. Lindström, and S. Stević, “Essential norm of operators into weighted-type spaces on the unit ball,” Abstract and Applied Analysis, vol. 2011, Article ID 939873, 2011. View at Publisher · View at Google Scholar
  7. R. Bonic, J. Frampton, and A. Tromba, “Λ-Manifolds,” Journal of Functional Analysis, vol. 3, no. 2, pp. 310–320, 1969. View at Google Scholar · View at Scopus
  8. P. Assouad, “Plongements lipschitziens dans n,” Bulletin de la Société Mathématique de France, vol. 111, no. 4, pp. 429–448, 1983. View at Google Scholar · View at Zentralblatt MATH
  9. E. Mayer-Wolf, “Isometries between Banach spaces of Lipschitz functions,” Israel Journal of Mathematics, vol. 38, no. 1-2, pp. 58–74, 1981. View at Publisher · View at Google Scholar · View at Zentralblatt MATH
  10. J. A. Johnson, “Lipschitz spaces,” Pacific Journal of Mathematics, vol. 51, pp. 177–186, 1974. View at Google Scholar · View at Zentralblatt MATH
  11. N. J. Kalton, “Spaces of compact operators,” Mathematische Annalen, vol. 208, pp. 267–278, 1974. View at Publisher · View at Google Scholar · View at Zentralblatt MATH
  12. S. Axler, N. Jewell, and A. Shields, “The essential norm of an operator and its adjoint,” Transactions of the American Mathematical Society, vol. 261, no. 1, pp. 159–167, 1980. View at Publisher · View at Google Scholar · View at Zentralblatt MATH