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A logarithmic lower bound for multi-dimensional bohr radii

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Abstract

We prove that the Bohr radiusK n of then-dimensional polydisc in ℂn is up to an absolute constant ≥ √logn/log logn/n. This improves a result of Boas and Khavinson.

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Authors and Affiliations

  1. Institute of Mathematics, Carl von Ossietzky University, D-26111, Oldenburg, Germany

    Andreas Defant

  2. Fachbereich C—Mathematik, Bergische Universität Wuppertal, D-42097, Wuppertal, Germany

    Leonhard Frerick

Authors
  1. Andreas Defant
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  2. Leonhard Frerick
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Correspondence to Andreas Defant.

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Defant, A., Frerick, L. A logarithmic lower bound for multi-dimensional bohr radii. Isr. J. Math. 152, 17–28 (2006). https://doi.org/10.1007/BF02771973

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  • DOI: https://doi.org/10.1007/BF02771973

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