Zobrazeno 1 - 10
of 15
pro vyhledávání: '"Jimenez, C. Hugo"'
In this work we establish functional asymmetric versions of the celebrated Blaschke-Santal\'o inequality. As consequences of these inequalities we recover their geometric counterparts with equality cases, as well as, another inequality with strong pr
Externí odkaz:
http://arxiv.org/abs/1810.02288
Autor:
Alonso-Gutiérrez, David, Artstein-Avidan, Shiri, Merino, Bernardo González, Jiménez, C. Hugo, Villa, Rafael
We provide functional analogues of the classical geometric inequality of Rogers and Shephard on products of volumes of sections and projections. As a consequence we recover (and obtain some new) functional versions of Rogers-Shephard type inequalitie
Externí odkaz:
http://arxiv.org/abs/1706.01499
We show that the $\Lp$ Busemann-Petty centroid inequality provides an elementary and powerful tool to the study of some sharp affine functional inequalities with a geometric content, like log-Sobolev, Sobolev and Gagliardo-Nirenberg inequalities. Our
Externí odkaz:
http://arxiv.org/abs/1505.07763
Publikováno v:
Commun. Math. Phys. (2016) 344: 141
It is well known that quantum correlations for bipartite dichotomic measurements are those of the form $\gamma=(\langle u_i,v_j\rangle)_{i,j=1}^n$, where the vectors $u_i$ and $v_j$ are in the unit ball of a real Hilbert space. In this work we study
Externí odkaz:
http://arxiv.org/abs/1412.4010
Publikováno v:
In Journal of Functional Analysis 15 January 2020 278(2)
In this paper we prove different functional inequalities extending the classical Rogers-Shephard inequalities for convex bodies. The original inequalities provide an optimal relation between the volume of a convex body and the volume of several symme
Externí odkaz:
http://arxiv.org/abs/1410.2556
In this note we study how a concentration phenomenon can be transmitted from one measure $\mu$ to a push-forward measure $\nu$. In the first part, we push forward $\mu$ by $\pi:supp(\mu)\rightarrow \Ren$, where $\pi x=\frac{x}{\norm{x}_L}\norm{x}_K$,
Externí odkaz:
http://arxiv.org/abs/1112.4765
A quantitative version of Minkowski sum, extending the definition of $\theta$-convolution of convex bodies, is studied to obtain extensions of the Brunn-Minkowski and Zhang inequalities, as well as, other interesting properties on Convex Geometry inv
Externí odkaz:
http://arxiv.org/abs/1112.4757
Publikováno v:
In Journal of Functional Analysis 1 December 2016 271(11):3269-3299
Publikováno v:
In Advances in Mathematics 1 May 2013 238:50-69