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- W2910384268 abstract "Let $H(mathbb{D})$ be the linear space of all analytic functions on the open unit disc $mathbb{D}$. We define $mathcal{S}^infty$ by the linear subspace of all $f in H(mathbb{D})$ with bounded derivative $f'$ on $mathbb{D}$. We give the characterization of surjective, not necessarily linear, isometries on $mathcal{S}^infty$ with respect to the following two norms: $| f |_infty + | f' |_infty$ and $|f(a)| + | f' |_infty$ for $a in mathbb{D}$, where $| cdot |_infty$ is the supremum norm on $mathbb{D}$." @default.
- W2910384268 created "2019-01-25" @default.
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- W2910384268 date "2019-01-09" @default.
- W2910384268 modified "2023-09-25" @default.
- W2910384268 title "Surjective isometries on a Banach space of analytic functions on the open unit disc" @default.
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