Muñoz-Fernández, Gustavo A.Pellegrino, D.Seoane Sepúlveda, Juan BenignoWeber, A.2023-06-192023-06-1920140944-6532https://hdl.handle.net/20.500.14352/33759We consider the Banach space of two homogeneous polynomials endowed with the supremum norm parallel to . parallel to(D(beta)) over circle sectors D(beta) of angle beta for several values of beta is an element of [0, 2 pi]. We provide an explicit formula for parallel to . parallel to(D(beta)), a full description of the extreme points of the corresponding unit balls, and a parametrization and a plot of their unit spheres. This work is an extension of a series of papers on the same topic published in the last decade and it has a number of applications to obtain polynomial-type inequalitiesengjournal articlehttp://www.heldermann-verlag.de/jca/jca21/jca1310_b.pdfrestricted access517.98Bernstein and Markov inequalitiesUnconditional constantsPolarizations constantsPolynomial inequalitiesHomogeneous polynomialsExtreme pointsAnálisis funcional y teoría de operadores