Isometric weighted composition operators on weighted Banach spaces of holomorphic functions defined on the unit ball of a complex Banach space
-
Elke Wolf
lichte@math.uni-paderborn.de
Downloads
DOI:
https://doi.org/10.4067/S0719-06462013000200004Abstract
Let X and Y be complex Banach spaces and BX resp. BY the closed unit ball. Analytic maps φ : BY → BX and ψ : BX → C induce the weighted composition operator:
Cφ,ψ : H(BY) → H(BX), f → ψ(f ◦ φ),
where H(BY) resp. H(BX) denotes the collection of all analytic functions f : BX(resp.BY) → C. We study when such operators acting between weighted spaces of analytic functions are isometric.
Keywords
Most read articles by the same author(s)
- Elke Wolf, Integral composition operators between weighted Bergman spaces and weighted Bloch type spaces , CUBO, A Mathematical Journal: Vol. 14 No. 1 (2012): CUBO, A Mathematical Journal
- Elke Wolf, Differences of weighted composition operators between weighted Banach spaces of holomorphic functions and weighted Bloch type spaces , CUBO, A Mathematical Journal: Vol. 12 No. 2 (2010): CUBO, A Mathematical Journal
Similar Articles
- Takahiro Sudo, Computing the Laplace transform and the convolution for more functions adjoined , CUBO, A Mathematical Journal: Vol. 17 No. 3 (2015): CUBO, A Mathematical Journal
- P. G. Patil, T. D. Rayanagoudar, S. S. Benchalli, Generalization of new continuous functions in Topological spaces , CUBO, A Mathematical Journal: Vol. 15 No. 3 (2013): CUBO, A Mathematical Journal
- H. Özlem Güney, G. Murugusundaramoorthy, K. Vijaya, Subclasses of \(\lambda\)-bi-pseudo-starlike functions with respect to symmetric points based on shell-like curves , CUBO, A Mathematical Journal: Vol. 23 No. 2 (2021)
- Aris Aghanians, Donal O‘Regan, Kamal Fallahi, Kourosh Nourouzi, Some coupled coincidence point theorems in partially ordered uniform spaces , CUBO, A Mathematical Journal: Vol. 16 No. 2 (2014): CUBO, A Mathematical Journal
- K. Gürlebeck, J. Morais, On mapping properties of monogenic functions , CUBO, A Mathematical Journal: Vol. 11 No. 1 (2009): CUBO, A Mathematical Journal
- Mohsen Razzaghi, Hamid-Reza Marzban, Hybrid Functions in the Calculus of Variations , CUBO, A Mathematical Journal: Vol. 4 No. 1 (2002): CUBO, Matemática Educacional
- Josefina Alvarez, Hamed M. Obiedat, Characterizations of the Schwartz Space and the Beurling-Björck Space ð”–ω , CUBO, A Mathematical Journal: Vol. 6 No. 4 (2004): CUBO, A Mathematical Journal
- Chia-chi Tung, Pier Domenico Lamberti, On Rellich‘s Lemma, the Poincaré inequality, and Friedrichs extension of an operator on complex spaces , CUBO, A Mathematical Journal: Vol. 23 No. 2 (2021)
- Nadjet Abada, Mouffak Benchohra, Hadda Hammouche, Existence Results for Semilinear Differential Evolution Equations with Impulses and Delay , CUBO, A Mathematical Journal: Vol. 12 No. 2 (2010): CUBO, A Mathematical Journal
- Nguyen Buong, Convergence rates in regularization for ill-posed variational inequalities , CUBO, A Mathematical Journal: Vol. 7 No. 3 (2005): CUBO, A Mathematical Journal
<< < 1 2 3 4 5 6 7 8 9 10 11 12 > >>
You may also start an advanced similarity search for this article.
Downloads
Download data is not yet available.
Published
2013-06-01
How to Cite
[1]
E. Wolf, “Isometric weighted composition operators on weighted Banach spaces of holomorphic functions defined on the unit ball of a complex Banach space”, CUBO, vol. 15, no. 2, pp. 43–52, Jun. 2013.
Issue
Section
Articles
