Marc Hovemann

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20242026

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3 papers · 1 filter

math.FA2026

Hölder Inequalities for Besov-Morrey and Triebel-Lizorkin-Morrey Spaces

Marc Hovemann

In this paper we prove Hölder inequalities for the Besov-Morrey spaces $N_{u, p, q}^{s} (R^{d})$ and the Triebel-Lizorkin-Morrey spaces $ \mathcal{E}^{s}_{u,p,q}(…

math.FA2025

On the boundedness of dilation operators in the context of Triebel-Lizorkin-Morrey spaces

Marc Hovemann, Markus Weimar

In this paper we study the behavior of dilation operators $D_{I^} » : f \mapsto f (I^» \cdot)$ with $I^» > 1$ in the context of Triebel-Lizorkin-Morrey spaces $\mathcal{E}^{s}_{u,…

math.FA2024

Oscillations and differences in Besov-Morrey and Besov-type spaces

Marc Hovemann, Markus Weimar

In this paper we investigate Besov-Morrey spaces $N_{u, p, q}^{s} (I^c ◯)$ and Besov-type spaces $B_{p, q}^{s, I ¨ } (I^c ◯)$ of positive smoothness defined on Lipschitz domains $Î©\su…