# The Bohnenblust-Hille inequality for homogeneous polynomials is hypercontractive | Annals of Mathematics

Abstract The Bohnenblust-Hille inequality says that the ℓ2mm+1-norm of the coefficients of an m-homogeneous polynomial P on ℂn is bounded by ∥P∥∞ times a constant independent of n, where ∥⋅∥∞ denotes the supremum norm on the polydisc

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### 数学年刊（Annals of Mathematics）

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