Thomas Speckhofer

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20232025

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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…