%0 Journal Article 
%A Jiménez-Rodríguez, P.
%A Muñoz-Fernández, G.A.
%A Murillo Arcila, Marina
%A Seoane-Sepúlveda, J.B.
%T Sharp values for the constants in the polynomial Bohnenblust-Hille inequality
%D 2016
%@ 1563-5139

%U http://hdl.handle.net/10498/35529
%X 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.
%K Bohnenblust–Hille constants
%K Absolutely summing operators
%K Quantum Information Theory
%~ Universidad de Cádiz