Thomas Speckhofer

activity

20232026

collaborators

5 papers

math.FA2026

Quotients of $L_{1}$ by subsequences of the Haar system have cotype 2

Stephen Dilworth, Denka Kutzarova, Mikhail Ostrovskii +1

Let $Y$ be the closed linear span of a subsequence of the Haar system in $L_{1}$ . We prove that the quotient space $L_{1} / Y$ has cotype~ $2$ . This result implies that transportation cos…

math.FA2026

Subspaces of $L^{1}$ spanned by the even and odd levels of the Haar system

Thomas Speckhofer

We prove that the closed subspace of $L^{1} [0, 1]$ spanned by the even (respectively, odd) levels of the Haar system is not isomorphic to $L^{1} [0, 1]$ .

math.FA2025

Factorization in independent sums of Haar system Hardy spaces

Konstantinos Konstantos, Thomas Speckhofer

We introduce a generalization of the Bourgain-Rosenthal-Schechtman $R_{ω}^{p}$ space: Let $Y$ be a Haar system Hardy space, i.e., a separable rearrangement-invariant function space on…

math.FA2024

Dimension dependence of factorization problems: Haar system Hardy spaces

Thomas Speckhofer

For $n \in N$ , let $Y_{n}$ denote the linear span of the first $n + 1$ levels of the Haar system in a Haar system Hardy space $Y$ (this class contains all separable rearrangeme…

math.FA2023

Factorization in Haar system Hardy spaces

Richard Lechner, Thomas Speckhofer

A Haar system Hardy space is the completion of the linear span of the Haar system $(h_{I})_{I}$ , either under a rearrangement-invariant norm $∥ \cdot ∥$ or under the associated square…

Quotients of L1​ by subsequences of the Haar system have cotype 2

Subspaces of L1 spanned by the even and odd levels of the Haar system

Factorization in independent sums of Haar system Hardy spaces

Dimension dependence of factorization problems: Haar system Hardy spaces

Factorization in Haar system Hardy spaces

Quotients of $L_{1}$ by subsequences of the Haar system have cotype 2

Subspaces of $L^{1}$ spanned by the even and odd levels of the Haar system