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

• Autorzy: L. Aizenberg , E. Liflyand , A. Vidras
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 32A07: Special domains (Reinhardt, Hartogs, circular, tube)
• 32A05: Power series, series of functions
• 42A05: Trigonometric polynomials, inequalities, extremal problems

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 2003
• Tom: 80
• Numer: 1
• Strony: 47-54

Daty

wydano

2003

Twórcy

autor

L. Aizenberg

• Department of Mathematics, and Computer Science, Bar-Ilan University, 52900 Ramat-Gan, Israel

autor

E. Liflyand

• Department of Mathematics and Computer Science, Bar-Ilan University, 52900 Ramat-Gan, Israel

autor

A. Vidras

• Department of Mathematics and Statistics, University of Cyprus, Nicosia 1678, Cyprus

Identyfikatory

DOI

10.4064/ap80-0-3