1 citations · 1 across the 7 of their papers we have counts for
8 papers
Chord Sobolev inequalities
Fernanda M. Baêta, Xiaxing Cai
The paper establishes a new family of sharp analytic inequalities. Together with the fractional Sobolev inequalities of Almgren and Lieb, they form a complete class of analytic ine…
A Characterization of Functional Affine Surface Areas
Fernanda M. Baêta
A characterization of valuations on the space of convex Lipschitz functions whose domain is a polytope in is obtained. It is shown that every upper semicontinuous, e…
Affine chord Sobolev inequalities and radial mean bodies for functions
Fernanda M. Baêta, Xiaxing Cai
Affine isoperimetric inequalities for the functional radial mean bodies are derived from the new affine chord Sobolev inequalities, which extend the recent affine isoperimetric ine…
Upper semicontinuous valuations on convex functions of one variable
Fernanda M. Baêta
A classification of upper semicontinuous, translation and dually epi-translation invariant valuations is established on the space of convex Lipschitz function on with…
Asymptotic Weighted Approximation of Convex Functions
Fernanda M. Baêta
Extending classical results on polytopal approximation of convex bodies, we derive asymptotic formulas for the weighted approximation of smooth convex functions by piecewise affine…
On the Semicontinuity of Functionals on Function Spaces
Fernanda M. Baêta, Monika Ludwig
Results on the upper and lower semicontinuity of functionals defined on spaces of convex and more general functions are established. In particular, the following result is obtained…
Constructive Decompositions of the Identity for Functional John Ellipsoids
F. M. Baêta
We consider functional ellipsoids in the sense defined by Ivanov and Naszódi and we study the problem of constructing a decomposition of the identity similar to the one given by Fr…
On explicit representations of isotropic measures in John and Löwner positions
F. M. Baêta, J. Haddad
Given a convex body in Löwner position we study the problem of constructing a non-negative centered isotropic measure supported in the contact points, who…