RT Journal Article
T1 Lower bounds for the constants in the Bohnenblust-Hille inequality: the case of real scalars
A1 Diniz, D.
A1 Muñoz-Fernández, Gustavo A.
A1 Pellegrino, D.
A1 Seoane-Sepúlveda, Juan B.
AB The Bohnenblust-Hille inequality was obtained in 1931 and ( in the case of real scalars) asserts that for every positive integer m there is a constant Cm so that ((N)Sigma(i1 , . . . , im=1)vertical bar T(e(i1) (,...,) e(im))vertical bar(2m/m+1))(m+1/2) <= C-m parallel to T parallel to for all positive integers N and every m-linear mapping T : l(infinity)(N) x...x l(infinity)(N) -> R. Since then, several authors have obtained upper estimates for the values of C-m. However, the novelty presented in this short note is that we provide lower (and non-trivial) bounds for C-m.
PB American Mathematical Society
SN 0002-9939
YR 2014
FD 2014-02
LK https://hdl.handle.net/20.500.14352/33480
UL https://hdl.handle.net/20.500.14352/33480
LA eng
NO Spanish Ministry of Science and Innovation
NO CNPq
NO CAPES-NF
NO INCT-Matematica
DS Docta Complutense
RD 6 may 2024