arXiv subjects

Ben-Hur Eidt

Publications and source records attributed to Ben-Hur Eidt.

3 recordsLinked to original sources

arXiv2026

Interpolation of Directional Banach Spaces and Commutator Estimates

We generalize the complex interpolation formula $(X, X')_{\frac{1}{2}} = L^2$ from the context of Banach function spaces to that of directional Banach spaces. We also obtain a formula for the interpolation of matrix weighted spaces of vector valued functions via interpolation functors, and apply our formula to the particular case of interpolation of matrix weighted $L^p$ spaces by the real and complex methods. We present consequences regarding the matrix Muckenhoupt classes and commutator estimates of Calderón-Zygmund operators with matrix $BMO$ functions. We also characterize the logarithms of Muckenhoupt weights through higher order commutators.

math.FA↗

arXiv2026

Shadowing phenomenon for composition operators on the Hardy space $H^2(\mathbb{D})$

Let $ϕ$ be a holomorphic self-map of the open unit disk $\mathbb{D}.$ In this article, we study the shadowing phenomenon for composition operators $C_ϕf=f\circ ϕ$ on the Hardy space $H^2(\mathbb{D}).$ We mainly characterize all the composition operators induced by linear fractional self-maps of $\mathbb{D}$ that have the positive shadowing property.

math.DS↗

arXiv2025

Relative ultragraph algebras and infinite interval maps

In this paper, we introduce the notion of relative ultragraph algebras and extend classical injectivity criteria for representations, particularly those arising from branching systems,to this relative setting. This new concept is closely connected to, and indeed motivated by, the dynamics of certain interval maps that we call infinite Markov maps. The central point is that these algebras provide the natural framework in which representations induced by such maps are defined.

math.OA↗