Isometric weighted composition operators on weighted Banach spaces of holomorphic functions defined on the unit ball of a complex Banach space
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Elke Wolf
lichte@math.uni-paderborn.de
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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.
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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.
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