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Journal of Function Spaces
Volume 2015 (2015), Article ID 982135, 6 pages
http://dx.doi.org/10.1155/2015/982135
Research Article

Fredholm Weighted Composition Operators on Weighted Banach Spaces of Analytic Functions of Type

Instituto Universitario de Matemática Pura y Aplicada (IUMPA), Universitat Politècnica de València, 46071 Valencia, Spain

Received 1 March 2015; Accepted 13 May 2015

Academic Editor: Ruhan Zhao

Copyright © 2015 M. Carmen Gómez-Collado and David Jornet. 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. V. Müller, Spectral Theory of Linear Operators and Spectral Systems in Banach Spaces, Birkhäauser, Basel, Switzerland, 2007. View at MathSciNet
  2. 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 MathSciNet
  3. J. H. Shapiro, Composition Operators and Classical Function Theory, Springer, New York, NY, USA, 1993. View at Publisher · View at Google Scholar · View at MathSciNet
  4. H. J. Schwartz, Composition operators on Hp [Ph.D. thesis], University of Toledo, 1969.
  5. J. A. Cima, J. Thomson, and W. Wogen, “On some properties of composition operators,” Indiana University Mathematics Journal, vol. 24, pp. 215–220, 1974. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  6. P. S. Bourdon, “Fredholm multiplication and composition operators on the Hardy space,” Integral Equations and Operator Theory, vol. 13, no. 4, pp. 607–610, 1990. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet · View at Scopus
  7. O. Hatori, “Fredholm composition operators on spaces of holomorphic functions,” Integral Equations and Operator Theory, vol. 18, no. 2, pp. 202–210, 1994. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet · View at Scopus
  8. B. D. MacCluer, “Fredholm composition operators,” Proceedings of the American Mathematical Society, vol. 125, no. 1, pp. 163–166, 1997. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  9. P. Galindo, T. W. Gamelin, and M. Lindström, “Fredholm composition operators on algebras of analytic functions on Banach spaces,” Journal of Functional Analysis, vol. 258, no. 5, pp. 1504–1512, 2010. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  10. P. Galindo and M. Lindström, “Fredholm composition operators on analytic functions spaces,” Collectanea Mathematica, vol. 63, no. 2, pp. 139–145, 2012. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  11. L. Zhao, “Fredholm weighted composition operators on dirichlet space,” International Journal of Mathematics and Mathematical Sciences, vol. 2012, Article ID 970729, 7 pages, 2012. View at Publisher · View at Google Scholar
  12. L. Zhao, “Fredholm weighted composition operators on Hardy space,” Journal of Mathematical Research with Applications, vol. 33, no. 3, pp. 361–364, 2013. View at Google Scholar · View at MathSciNet
  13. L. Zhao, “Fredholm weighted composition operator on weighted Hardy space,” Journal of Function Spaces and Applications, vol. 2013, Article ID 327692, 5 pages, 2013. View at Publisher · View at Google Scholar · View at MathSciNet
  14. M. D. Contreras and A. G. Hernández-Díaz, “Weighted composition operators in weighted Banach spaces of analytic functions,” Journal of the Australian Mathematical Society. Series A, vol. 69, no. 1, pp. 41–60, 2000. View at Publisher · View at Google Scholar · View at MathSciNet
  15. 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 MathSciNet
  16. J. Bonet, P. Domański, M. Lindström, and J. Taskinen, “Composition operators between weighted Banach spaces of analytic functions,” Journal of the Australian Mathematical Society Series A, vol. 64, no. 1, pp. 101–118, 1998. View at Publisher · View at Google Scholar · View at MathSciNet
  17. J. Bonet, P. Domanski, and M. Lindström, “Pointwise multiplication operators on weighted Banach spaces of analytic functions,” Studia Mathematica, vol. 137, no. 2, pp. 177–194, 1999. View at Google Scholar · View at MathSciNet · View at Scopus
  18. O. Yvärinen, M. Lindström, I. Mieminen, and E. Saukko, “Spectra of weighted composition operators with automorphic symbols,” Journal of Functional Analysis, vol. 265, no. 8, pp. 1749–1777, 2013. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  19. K. D. Bierstedt, J. Bonet, and J. Taskinen, “Associated weights and spaces of holomorphic functions,” Studia Mathematica, vol. 127, no. 2, pp. 137–168, 1998. View at Google Scholar · View at MathSciNet · View at Scopus
  20. K. D. Bierstedt and W. H. Summers, “Biduals of weighted Banach spaces of analytic functions,” Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics, vol. 54, no. 1, pp. 70–79, 1993. View at Publisher · View at Google Scholar · View at MathSciNet
  21. K. D. Bierstedt, J. Bonet, and A. Galbis, “Weighted spaces of holomorphic functions on balanced domains,” The Michigan Mathematical Journal, vol. 40, no. 2, pp. 271–297, 1993. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  22. E. Wolf, “Weighted composition operators between weighted Bloch type spaces,” Bulletin de la Société Royale des Sciences de Liège, vol. 80, pp. 806–816, 2011. View at Google Scholar · View at MathSciNet