T. Tkocz

activity

20102023

most citedGaussian mixtures: entropy and geometric inequalities

52 citations · 180 across the 41 of their papers we have counts for

collaborators

Showing 2014Show all

3 papers · 1 filter

math.FA2014

Injective Tauberian operators on $L_{1}$ and operators with dense range on $ℓ_{\infty}$

William B. Johnson, Amir Bahman Nasseri, Gideon Schechtman +1

There exist injective Tauberian operators on $L_{1} (0, 1)$ that have dense, non closed range. This gives injective, non surjective operators on $ℓ_{\infty}$ that have dense range. Co…

math.PR2014★ 18 cited

A note on suprema of canonical processes based on random variables with regular moments

Rafał Latała, Tomasz Tkocz

We derive two-sided bounds for expected values of suprema of canonical processes based on random variables with moments growing regularly. We also discuss a Sudakov-type minoration…

math.PR2014★ 2 cited

Two-sided bounds for $L_{p}$ -norms of combinations of products of independent random variables

Ewa Damek, Rafał Latała, Piotr Nayar +1

We show that for every positive p, the L_p-norm of linear combinations (with scalar or vector coefficients) of products of i.i.d. random variables, whose moduli have a nondegenerat…

Injective Tauberian operators on L1​ and operators with dense range on ℓ∞​

A note on suprema of canonical processes based on random variables with regular moments

Two-sided bounds for Lp​-norms of combinations of products of independent random variables

Injective Tauberian operators on $L_{1}$ and operators with dense range on $ℓ_{\infty}$

Two-sided bounds for $L_{p}$ -norms of combinations of products of independent random variables