Oleksandr V. Maslyuchenko

activity

20242026

collaborators

5 papers

math.FA2026

Operators arising from invariant measures under some class of multidimensional transformations

Oleksandr V. Maslyuchenko, Janusz Morawiec, Thomas ZÃ¼rcher

We investigate a linear operator associated with a functional equation that arises from studying some class of invariant measures under multidimensional transformations. By examini…

math.FA2025

Classification of Lipschitz derivatives in terms of semicontinuity and the Baire limit functions

Oleksandr V. Maslyuchenko, Ziemowit M. WÃ³jcicki

We introduce the generalized notion of semicontinuity of a function defined on a topological space and derive the useful classification of the so-called Lipschitz derivatives of fu…

math.FA2025

Centered Takagi--van der Waerden functions and their Lipschitz derivatives

Oleksandr V. Maslyuchenko, Ziemowit M. WÃ³jcicki

Using a modification of a generalized Takagi-van der Waerden function on a metric space we prove that for any closed subset of a metric space without isolated points there exists a…

math.GN2025

On stable pairs of Hahn and extremal sections of separately continuous functions on the products with a scattered multiplier

Oleksandr Maslyuchenko, Anastasiia Lianha

The minimal and the maximal sections $\land_{f}, \lor_{f} : X \to R$ of a function $f : X \times Y \to R$ are defined by $\wedge_f(x)=\inf\limits_{y\in Y…

math.FA2024

Takagi-van der Waerden functions in metric spaces and its Lipschitz derivatives

Oleksandr Maslyuchenko, Ziemowit WÃ³jcicki

We introduce the Takagi--van der Waerden function with parameters $a > b > 0$ by setting $f_{a, b} (x) = n = 1 \sum \infty b^{n} d (x, S_{n})$ , where $S_{n}$ is a maximal $\frac…