RT Journal Article
T1 The Bohr radius of the $ n $-dimensional polydisk is equivalent to $\ sqrt {\ frac {\ log n}{n}} $
A1 Bayart, F.
A1 Pellegrino, D.
A1 Seoane-Sepúlveda, Juan B.
AB We show that the Bohr radius of the polydisk $\mathbb D^n$ behaves asymptotically as $\sqrt{(\log n)/n}$. Our argument is based on a new interpolative approach to the Bohnenblust--Hille inequalities which allows us to prove that the polynomial Bohnenblust--Hille inequality is subexponential.
PB Elsevier
SN 0001-8708
YR 2014
FD 2014
LK https://hdl.handle.net/20.500.14352/33847
UL https://hdl.handle.net/20.500.14352/33847
LA eng
NO CAPES
NO CNPq
DS Docta Complutense
RD 7 may 2024