Multidimensional analogue of the van der Corput-Visser inequality and its application to the estimation of the Bohr radius
L. Aizenberg ; E. Liflyand ; A. Vidras
Annales Polonici Mathematici, Tome 81 (2003), p. 47-54 / Harvested from The Polish Digital Mathematics Library
Access to full text
Full (PDF)

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.

Publié le : 2003-01-01
EUDML-ID : urn:eudml:doc:280973 
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-ap80-0-3,
     author = {L. Aizenberg and E. Liflyand and A. Vidras},
     title = {Multidimensional analogue of the van der Corput-Visser inequality and its application to the estimation of the Bohr radius},
     journal = {Annales Polonici Mathematici},
     volume = {81},
     year = {2003},
     pages = {47-54},
     zbl = {1061.32001},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap80-0-3}
}

L. Aizenberg; E. Liflyand; A. Vidras. Multidimensional analogue of the van der Corput-Visser inequality and its application to the estimation of the Bohr radius. Annales Polonici Mathematici, Tome 81 (2003) pp. 47-54. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap80-0-3/