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- W2091275153 abstract "Let X be a complex Banach space and Y be a JB*‐triple. Let G be a bounded balanced domain in X and B Y be the unit ball in Y . Let f : G → B Y be a holomorphic mapping. In this paper, we obtain some generalization of Bohr's theorem that if a = f (0), then we have for z ∈ (1 / 3) G , where φ a ∈ Aut( B Y ) such that φ a ( a ) = 0. Moreover, we show that the constant 1 / 3 is best possible. This result generalizes Bohr's theorem for the open unit disc Δ in the complex plane . Copyright © 2012 John Wiley & Sons, Ltd." @default.
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- W2091275153 date "2012-06-22" @default.
- W2091275153 modified "2023-10-14" @default.
- W2091275153 title "Some generalizations of Bohr's theorem" @default.
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- W2091275153 doi "https://doi.org/10.1002/mma.2633" @default.
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