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• W2092652021 abstract "Let Ω⊂Cn be a bounded, circular and strictly convex domain with the boundary of class C2. Denote by Hol(Ω) the space of all holomorphic functions in Ω. Given g∈Hol(Ω) and a holomorphic mapping φ:Ω→Ω, put Cφgf=g⋅(f○φ) for f∈Hol(Ω). We characterize those g and φ for which Cφg is a bounded or compact operator from the growth space A−log(Ω) or A−β(Ω), β>0, to the weighted Bergman space Aαp(Ω), 0 −1. Also, given 0 0, we describe those positive measures μ on Ω for which A−β(Ω)⊂Lq(Ω,μ) and those μ for which A−log(Ω)⊂Lq(Ω,μ). To cite this article: E. Doubtsov, C. R. Acad. Sci. Paris, Ser. I 347 (2009)." @default.
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• W2092652021 date "2009-06-01" @default.
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• W2092652021 title "Growth spaces on circular domains: composition operators and Carleson measures" @default.
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• W2092652021 doi "https://doi.org/10.1016/j.crma.2009.04.003" @default.
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