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- W2973270580 abstract "A simply connected domain Ω⊂C is convex in the positive direction if for every z∈Ω, the half-line {z+t:t≥0} is contained in Ω. We provide necessary and sufficient conditions for the existence of an angular derivative at ∞ for domains convex in the positive direction which are contained either in a horizontal half-plane or in a horizontal strip. This class of domains arises naturally in the theory of semigroups of holomorphic functions, and the existence of an angular derivative has interesting consequences for the semigroup." @default.
- W2973270580 created "2019-09-26" @default.
- W2973270580 creator A5077468726 @default.
- W2973270580 date "2019-10-01" @default.
- W2973270580 modified "2023-10-16" @default.
- W2973270580 title "Angular derivatives and semigroups of holomorphic functions" @default.
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- W2973270580 doi "https://doi.org/10.1215/00192082-7897499" @default.
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