Maciej Rzeszut

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math.FA2025

Disjointification inequalities for Hoeffding subspaces of $H^{1}$ on an infinite polydisc

Maciej Rzeszut

We prove that the $L^{1}$ norm on the linear span of functions on $\T^\N$ dependent on $m$ variables and analytic and mean zero in each of them can be expressed as an interpolation s…

math.FA2019

Weighted and multivariate Johnson--Schechtman inequalities with application to interpolation theory

Maciej Rzeszut

We prove a weighted version of a classical inequality of Johnson and Schechtman from which we derive a decomposition theorem for $p$ -th moments ( $0 < p \leq 1$ ) of nonnegative general…

Disjointification inequalities for Hoeffding subspaces of H1 on an infinite polydisc

Weighted and multivariate Johnson--Schechtman inequalities with application to interpolation theory

Disjointification inequalities for Hoeffding subspaces of $H^{1}$ on an infinite polydisc