International audienceWe extend Kahane-Khinchin type inequalities to the case p > -2. As an application we verify the slicing problem for the unit balls of finite-dimensional spaces that embed in L-p, p, > -2
We adapt a construction of Klee (1981) to find a packing of unit balls in ℓ p (1≤p21−1/p covers the ...
AbstractLet Sd−1≔{(x1,…,xd)∈Rd:x21+···+x2d=1} be the unit sphere of the d-dimensional Euclidean spac...
AbstractWe show that the validity of the non-commutative Khintchine inequality for some q with 1<q<2...
Abstract. We extend Kahane-Khinchin type inequalities to the case p> −2. As an application we ver...
14 pagesWe prove a quantitative form of the celebrated Ball's theorem on cube slicing in $\mathbb{R}...
International audienceWe prove noncommutative Khintchine inequalities for all interpolation spaces b...
AbstractUsing techniques of a geometrical nature, the following result is proved: denoting by Iqp(M)...
We determine upper asymptotic estimates of Kolmogorov and linear $n$-widths of unit balls in Sobolev...
AbstractWe develop a technique using dual mixed-volumes to study the isotropic constants of some cla...
AbstractThe n-widths of the unit ball Ap of the Hardy space Hp in Lq( −1, 1) are determined asymptot...
We provide sharp lower and upper bounds for the Gelfand widths of `p-balls in the N-dimensional `Nq-...
Several inequalities of Kahane-Khintchine's type in certain Orlicz spaces are proved. For this, the ...
A general interpolation problem (which includes as particular cases the Nevanlinna–Pick and Carathéo...
We prove on some nested fractals scale invariant $L^p$-Poincar\\u27e inequalities on metric balls in...
We recently formulated Modular Dvoretzky, Type-Cotype, Khinchin-Kahane and Grothendieck Inequality ...
We adapt a construction of Klee (1981) to find a packing of unit balls in ℓ p (1≤p21−1/p covers the ...
AbstractLet Sd−1≔{(x1,…,xd)∈Rd:x21+···+x2d=1} be the unit sphere of the d-dimensional Euclidean spac...
AbstractWe show that the validity of the non-commutative Khintchine inequality for some q with 1<q<2...
Abstract. We extend Kahane-Khinchin type inequalities to the case p> −2. As an application we ver...
14 pagesWe prove a quantitative form of the celebrated Ball's theorem on cube slicing in $\mathbb{R}...
International audienceWe prove noncommutative Khintchine inequalities for all interpolation spaces b...
AbstractUsing techniques of a geometrical nature, the following result is proved: denoting by Iqp(M)...
We determine upper asymptotic estimates of Kolmogorov and linear $n$-widths of unit balls in Sobolev...
AbstractWe develop a technique using dual mixed-volumes to study the isotropic constants of some cla...
AbstractThe n-widths of the unit ball Ap of the Hardy space Hp in Lq( −1, 1) are determined asymptot...
We provide sharp lower and upper bounds for the Gelfand widths of `p-balls in the N-dimensional `Nq-...
Several inequalities of Kahane-Khintchine's type in certain Orlicz spaces are proved. For this, the ...
A general interpolation problem (which includes as particular cases the Nevanlinna–Pick and Carathéo...
We prove on some nested fractals scale invariant $L^p$-Poincar\\u27e inequalities on metric balls in...
We recently formulated Modular Dvoretzky, Type-Cotype, Khinchin-Kahane and Grothendieck Inequality ...
We adapt a construction of Klee (1981) to find a packing of unit balls in ℓ p (1≤p21−1/p covers the ...
AbstractLet Sd−1≔{(x1,…,xd)∈Rd:x21+···+x2d=1} be the unit sphere of the d-dimensional Euclidean spac...
AbstractWe show that the validity of the non-commutative Khintchine inequality for some q with 1<q<2...