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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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