RT journal article
T1 Sharp values for the constants in the polynomial Bohnenblust-Hille inequality
A1 Jiménez-Rodríguez, P.
A1 Muñoz-Fernández, G.A.
A1 Murillo Arcila, Marina
A1 Seoane-Sepúlveda, J.B.
A2 Matemáticas
K1 Bohnenblust–Hille constants
K1 Absolutely summing operators
K1 Quantum Information Theory
AB In this paper we prove that the complex polynomial Bohnenblust-Hille constant for $2$-homogeneous polynomials in ${\mathbb C}^2$ is exactly $\sqrt[4]{\frac{3}{2}}$. We also give the exact value of the real polynomial Bohnenblust-Hille constant for $2$-homogeneous polynomials in ${\mathbb R}^2$. Finally, we provide lower estimates for the real polynomial Bohnenblust-Hille constant for polynomials in ${\mathbb R}^2$ of higher degrees.
PB Taylor & Francis
SN 1563-5139
YR 2016
FD 2016
LK http://hdl.handle.net/10498/35529
UL http://hdl.handle.net/10498/35529
LA eng
DS Repositorio Institucional de la Universidad de Cádiz
RD 10-may-2026