# A subexponential vector-valued Bohnenblust-Hille type inequality

@article{Albuquerque2014ASV,
title={A subexponential vector-valued Bohnenblust-Hille type inequality},
author={Nacib Gurgel Albuquerque and Daniel N'unez-Alarc'on and Diana Serrano-Rodr'iguez},
journal={arXiv: Functional Analysis},
year={2014}
}
• Published 6 May 2014
• Mathematics
• arXiv: Functional Analysis

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The Bohnenblust-Hille inequality says that the ‘ 2m m+1 -norm of the coefcients of an m-homogeneous polynomial P on C n is bounded by kPk1 times a constant independent of n, wherekk 1 denotes the
The Bohr-Bohnenblust-Hille theorem states that the maximal width of the strip on which a Dirichlet series converges uniformly but not absolutely equals ½. In fact Bohr in 1913 proved that S ≤ ½ asked
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Generalizing a classical one-variable theorem of Harald Bohr, we show that if an n-variable power series has modulus less than 1 in the unit polydisc, then the sum of the moduli of the terms is less
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