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A logarithmic lower bound for multi-dimensional bohr radii |
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| Authors: | Andreas Defant Leonhard Frerick |
| Institution: | 1. Institute of Mathematics, Carl von Ossietzky University, D-26111, Oldenburg, Germany 2. Fachbereich C—Mathematik, Bergische Universit?t Wuppertal, D-42097, Wuppertal, Germany |
| Abstract: | We prove that the Bohr radiusK n of then-dimensional polydisc in ℂ n is up to an absolute constant ≥ √logn/log logn/n. This improves a result of Boas and Khavinson. |
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