%0 Journal Article %A Araujo, G. %A Jiménez Rodríguez, P. %A Muñoz-Fernández, Gustavo A. %A Seoane-Sepúlveda, Juan B. %T Polynomial Inequalities on the π/4-Circle Sector %D 2017 %@ 0944-6532 %U https://hdl.handle.net/20.500.14352/17906 %X A number of sharp inequalities are proved for the space P (2D (π/4)) of 2-homogeneous polynomials on ℝ2 endowed with the supremum norm on the sector D (π/4) := {eiθ : θ ∈ [0, π/4]}. Among the main results we can find sharp Bernstein and Markov inequalities and the calculation of the polarization constant and the unconditional constant of the canonical basis of the space P (2D (π/4)). %~