Araujo, G.Jiménez Rodríguez, P.Muñoz-Fernández, Gustavo A.Seoane Sepúlveda, Juan Benigno2023-06-172023-06-1720170944-6532https://hdl.handle.net/20.500.14352/17906A 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)).engjournal articlehttps://arxiv.org/abs/1503.06607https://arxiv.org/open access517.98Bernstein and Markov inequalitiesUnconditional constantsPolarizations constantsPolynomial inequalitiesHomogeneous polynomialsExtreme points.Análisis funcional y teoría de operadores