Tuomas Oikari

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20242026

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3 papers · 1 filter

math.FA2025

Factorizations for variable exponent Muckenhoupt weights

Stefanos Lappas, Tuomas Oikari

Given two variable exponent Muckenhoupt weights $w \in A_{p (\cdot)}$ and $w_{1} \in A_{p_{1} (\cdot)}$ , we prove that for all small enough $θ > 0,$ there holds that $w_0…

math.FA2024

Testing compactness of linear operators

Timo S. Hänninen, Tuomas V. Oikari

Let $(F_{i})$ be a sequence of sets in a Banach space $X$ . For what sequences does the condition $i \to \infty lim sup f_{i} \in F_{i} sup ∥ T f_{i} ∥_{Y} = 0$ hold for every Banach spac…

math.FA2024

Approximation in Hölder Spaces

Carlos Mudarra, Tuomas Oikari

We introduce new vanishing subspaces of the homogeneous Hölder space $C ˙^{0, ω} (X, Y)$ in the generality of a doubling modulus $ω$ and normed spaces $X$ and $Y .$ For many couple…