Jiménez Rodríguez, PabloMuñoz-Fernández, Gustavo A.Pellegrine, D.Seoane Sepúlveda, Juan Benigno2023-06-172023-06-1720171331-434310.7153/mia-20-21https://hdl.handle.net/20.500.14352/17725In this paper we study various polynomial inequalities for 2-homogeneous polynomials on the circular sector {rei: r Ε [0,1]Ε [0, 2]}. In particular, we obtain sharp Bernstein and Markov inequalities for such polynomials, we calculate the polarization constant of the space formed by those polynomials and, finally, we provide the unconditional basis constant of the canonical basis of that polynomial space.engjournal articlehttp://mia.ele-math.com/editorialrestricted access517.98Bernstein and Markov inequalitiesExtreme pointsHomogeneous polynomialsPolarizations constantsPolynomial inequalitiesUnconditional constantsAnálisis funcional y teoría de operadores