RT Journal Article
T1 Supremum Norms for 2-Homogeneous Polynomials on Circle Sectors
A1 Muñoz-Fernández, Gustavo A.
A1 Pellegrino, D.
A1 Seoane Sepúlveda, Juan Benigno
A1 Weber, A.
AB 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
PB Heldermann Verlag
SN 0944-6532
YR 2014
FD 2014
LK https://hdl.handle.net/20.500.14352/33759
UL https://hdl.handle.net/20.500.14352/33759
LA eng
NO CNPq
NO INCT-Matematica
DS Docta Complutense
RD 23 abr 2025