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Multidimensional analogue of the van der Corput-Visser inequality and its application to the estimation of the Bohr radius

L. AizenbergE. LiflyandA. Vidras — 2003

Annales Polonici Mathematici

We present a multidimensional analogue of an inequality by van der Corput-Visser concerning the coefficients of a real trigonometric polynomial. As an application, we obtain an improved estimate from below of the Bohr radius for the hypercone 𝓓₁ⁿ = {z ∈ ℂⁿ: |z₁|+. .. +|zₙ| < 1} when 3 ≤ n ≤ 10.

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