Advanced search
Publication Cover
Cogent Mathematics Volume 3, 2016 - Issue 1
Submit an article Journal homepage
423
Views
0
CrossRef citations to date
0
Altmetric
Research Article

Boundedness of self-map composition operators for two types of weights on the upper half-plane

Mohammad Ali ArdalaniFaculty of Science, Department of Mathematics, University of Kurdistan, Pasdaran Ave., 66177-175Sanandaj, IranCorrespondence[email protected]
View further author information
|
Hari M. SrivastavaUniversity of Victoria, CanadaView further author information
(Reviewing Editor)
Article: 1210716 | Received 12 Apr 2016, Accepted 27 Jun 2016, Published online: 22 Jul 2016

References

  • Ardalani, M. A. (2014). Boundedness of composition operator between weithted spaces of holomorphic functions on the upper half-plane. Taiwanese Journal of Mathematics, 18, 277–283.
  • Ardalani, M. A., & Lusky, W. (2011). Weighted spaces of holomorphic 2π periodic functions on the upper half-plane. Functiones et Approximatio Commentarii Mathematici, 44, 191–201.
  • Ardalani, M. A., & Lusky, W. (2012a). Weighted spaces of holomorphic functions on the upper half-plane. Mathematica Scandinavica, 111, 244–260.
  • Ardalani, M. A., & Lusky, W. (2012b). Bounded operators on weighted spaces of holomorphic functions on the upper half-plane. Studia Mathematica, 209, 225–234.
  • Bonet, J. (2003). Weighted spaces of holomorphic functions and operators between them. In Seminar of mathematical analysis (pp. 117–138). Sevilla: Colecc. Abierta 64, Universidad de Sevilla Servicio de Publicaciones.
  • Bonet, J., Domanski, P., & Lindstrom, M. (1998). Composition operators between weighted Banach spaces of analytic functions. Journal of the Australian Mathematical Society (Series A), 64, 101–118.
  • Bonet, J., Domanski, P., & Lindstrom, M. (1999). Essential norm and weak compactness of composition operators on weighted Banach spaces of analytic functions. Canadian Mathematical Bulletin, 42, 139–148.
  • Bonet, J., Fritz, M., & Jorda, E. (2005). Composition operators between weithted inductive limits of spaces of holomorphic functions. Publicationes Mathematicae Debrecen, 67, 3–4, 6.
  • Contreras, M. D., & Diaz-Madrigal, S. (1999). Compact-type operators defined on H∞. Contemporary Mathematics, 232, 111–118.
  • Cowen, C., & MacCluer, B. (1995). Composition operators on spaces of analytic functions. Boca Raton, FL: CRC Press.
  • Lusky, W. (1995). On weighted spaces of harmonic and holomorphic functions. Journal London Mathematical Society, 51, 309–320.
  • Madigan, K. (1993). Composition operators on analytic Lipschitz spaces. Proceedings of the American Mathematical Society, 119, 465–473.
  • Shapiro, J. H. (1987). The essential norm of a composition operator. Annals of Mathematics, 125, 375–404.
  • Stanev, M. A. (1999). Weighted Banach spaces of holomorphic functions in the upper half-plane (FA/9911082). arXiv:math.
  • Zhu, K. (1990). Operator theory in function spaces. New York, NY: Marcel Dekker.

Related research

People also read lists articles that other readers of this article have read.

Recommended articles lists articles that we recommend and is powered by our AI driven recommendation engine.

Cited by lists all citing articles based on Crossref citations.
Articles with the Crossref icon will open in a new tab.