@misc{10498/35529, year = {2016}, url = {http://hdl.handle.net/10498/35529}, abstract = {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.}, publisher = {Taylor & Francis}, keywords = {Bohnenblust–Hille constants}, keywords = {Absolutely summing operators}, keywords = {Quantum Information Theory}, title = {Sharp values for the constants in the polynomial Bohnenblust-Hille inequality}, doi = {10.1080/03081087.2015.1115810}, author = {Jiménez-Rodríguez, P. and Muñoz-Fernández, G.A. and Murillo Arcila, Marina and Seoane-Sepúlveda, J.B.}, }