Littlewood subordination theorem
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0In mathematics, the Littlewood subordination theorem, proved by J. east. Littlewood in 1925, is a theorem in operator theory and complex analysis. It states that any holomorphic univalent self-mapping of the unit disk in the complex numbers that fixes 0 induces a contractive composition operator on various function spaces of holomorphic functions on the disk. These spaces include the Hardy spaces, the Bergman spaces and Dirichlet space.
Source: https://en.wikipedia.org/wiki/Littlewood_subordination_theorem
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