On the Cauchy profile: Isoperimetry and Symmetrization

2017 edition

Walter Andrés Ortiz Vargas

In the theory dedicated to metric spaces of probability, obtaninig Sobolev-
Poincare type inequalities, ussing isoperimetry and symmetrization. It is
noteworthy that these have been studied for the isoperimetric concave pro-
le; currently we focus in this type of isoperimetric inequalities with convex
prole, adapting these characterizations in probability spaces whit invariant
rearrangement, whose measure is the Cauchy.