Oleksandr V. Maslyuchenko

collaborators

3 papers

math.FA2025

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

Oleksandr V. Maslyuchenko, Ziemowit M. Wójcicki

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. Wójcicki

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…