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.FA2024
Takagi-van der Waerden functions in metric spaces and its Lipschitz derivatives
Oleksandr Maslyuchenko, Ziemowit Wójcicki
We introduce the Takagi--van der Waerden function with parameters by setting , where is a maximal $\frac…