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
- S. S. Dragomir, Several inequalities for an integral transform of positive operators in Hilbert spaces with applications , CUBO, A Mathematical Journal: Vol. 25 No. 2 (2023)
- Grigori Rozenblum, Nikolay Shirokov, Entire Functions in Weighted ð˜“â‚‚ and Zero Modes of the Pauli Operator with Non-Signdefinite Magnetic Field , CUBO, A Mathematical Journal: Vol. 12 No. 1 (2010): CUBO, A Mathematical Journal
- A. El-Sayed Ahmed, A. Kamal, T.I. Yassen, Characterizations for certain analytic functions by series expansions with Hadamard gaps , CUBO, A Mathematical Journal: Vol. 16 No. 1 (2014): CUBO, A Mathematical Journal
- Chia-chi Tung, On Semisubmedian Functions and Weak Plurisubharmonicity , CUBO, A Mathematical Journal: Vol. 12 No. 2 (2010): CUBO, A Mathematical Journal
- José Sánchez Henriquez, The ð‘‰â‚€ property in Banach Lattices , CUBO, A Mathematical Journal: No. 8 (1992): CUBO, Revista de Matemática
- Luiz Antonio Pereira Gomes, Eduardo Brandani da Silva, A Characterization of the Product Hardy Space 𻹠, CUBO, A Mathematical Journal: Vol. 11 No. 4 (2009): CUBO, A Mathematical Journal
- Shrabani Banerjee, Binayak S. Choudhury, Weak and strong convergence theorems of a multistep iteration to a common fixed point of a family of nonself asymptotically nonexpansive mappings in banach spaces , CUBO, A Mathematical Journal: Vol. 14 No. 3 (2012): CUBO, A Mathematical Journal
- M. W. Wong, Erhling's Inequality and Pseudo-Differential Operators on ð¿áµ–(IRá´º) , CUBO, A Mathematical Journal: Vol. 8 No. 1 (2006): CUBO, A Mathematical Journal
- F. Brackx, H. De Schepper, The Hilbert Transform on a Smooth Closed Hypersurface , CUBO, A Mathematical Journal: Vol. 10 No. 2 (2008): CUBO, A Mathematical Journal
- T.M.M. Sow, A new iterative method based on the modified proximal-point algorithm for finding a common null point of an infinite family of accretive operators in Banach spaces , CUBO, A Mathematical Journal: Vol. 22 No. 2 (2020)
<< < 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
