科研之友
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摘要
By a classical result due to Aizenberg, Boas and Khavinson the Bohr radius K(B-lpn) of the unit ball in the Minkowski space l(p)(n), 1 <= p <= infinity, is up to an absolute constant <= (log n/n)(1-1/min(p,2)). Our main result shows that this estimate is optimal. For p = infinity, this was recently proved in [15] as a consequence of the hypercontractivity of the Bohnenblust-Hille inequality for polynomials. Using substantially different methods from local Banach space theory, we give a proof which covers the full scale 1 <= p <= infinity.
- 出版日期2011-11
