%0 Journal Article
%A Muñoz-Fernández, Gustavo A.
%A Pellegrino, D.
%A Seoane Sepúlveda, Juan Benigno
%A Weber, A.
%T Supremum Norms for 2-Homogeneous Polynomials on Circle Sectors
%D 2014
%@ 0944-6532
%U https://hdl.handle.net/20.500.14352/33759
%X We 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 inequalities
%~