13 citations · 70 across the 13 of their papers we have counts for
13 papers
Stability under mixtures of transportation inequalities and restricted log-Sobolev inequalities
Radosław Adamczak, Dominik Kutek, Michał Strzelecki
We prove results about stability under mixtures for transport--entropy inequalities and restricted functional inequalities of Poincaré and log-Sobolev type. We treat Talagrand ineq…
Norms of structured random matrices
Radosław Adamczak, Joscha Prochno, Marta Strzelecka +1
For let be a random matrix, a real deterministic matrix, and …
Approximation, Gelfand, and Kolmogorov numbers of Schatten class embeddings
Joscha Prochno, Michał Strzelecki
Let and denote by and the corresponding Schatten classes of real matrices. We study approximation quantities of nat…
Modified log-Sobolev inequalities, Beckner inequalities and moment estimates
Radosław Adamczak, Bartłomiej Polaczyk, Michał Strzelecki
We prove that in the context of general Markov semigroups Beckner inequalities with constants separated from zero as are equivalent to the modified log Sobolev inequalit…
Functional inequalities for two-level concentration
Franck Barthe, Michal Strzelecki
Probability measures satisfying a Poincar{é} inequality are known to enjoy a dimension free concentration inequality with exponential rate. A celebrated result of Bobkov and Ledoux…
Hardy's operator minus identity and power weights
Michał Strzelecki
Let be the Hardy operator and the identity operator acting on functions on the real half-line. We find optimal bounds for the operator in the setting of power weigh…
A note on concentration for polynomials in the Ising model
Radosław Adamczak, Michał Kotowski, Bartłomiej Polaczyk +1
We present precise multilevel exponential concentration inequalities for polynomials in Ising models satisfying the Dobrushin condition. The estimates have the same form as two-sid…
On the convex Poincaré inequality and weak transportation inequalities
Radosław Adamczak, Michał Strzelecki
We prove that for a probability measure on , the Poincaré inequality for convex functions is equivalent to the weak transportation inequality with a quadratic-linear…
On the convex infimum convolution inequality with optimal cost function
Marta Strzelecka, Michał Strzelecki, Tomasz Tkocz
We show that every symmetric random variable with log-concave tails satisfies the convex infimum convolution inequality with an optimal cost function (up to scaling). As a result,…
A characterization of a class of convex log-Sobolev inequalities on the real line
Yan Shu, Michał Strzelecki
We give a sufficient and necessary condition for a probability measure on the real line to satisfy the logarithmic Sobolev inequality for convex functions. The condition is exp…
The L^p-norms of the Beurling-Ahlfors transform on radial functions
Michał Strzelecki
We calculate the norms of the operators connected to the action of the Beurling-Ahlfors transform on radial function subspaces introduced by Bañuelos and Janakiraman. In particular…
Modified log-Sobolev inequalities for convex functions on the real line. Sufficient conditions
Radosław Adamczak, Michał Strzelecki
We provide a mild sufficient condition for a probability measure on the real line to satisfy a modified log-Sobolev inequality for convex functions, interpolating between the class…
A note on sharp one-sided bounds for the Hilbert transform
Michał Strzelecki
Let denote the Hilbert transform on the circle. The paper contains the proofs of the sharp estimates \begin{equation*} \frac{1}{2π}|\{ ξ\in\mathbb{T} : \…