Ziemowit M. W'ojcicki

activity

20242026

collaborators

4 papers

math.NT2026

Representations and $n$ -universality of hermitian lattices over local and number fields

Yong Hu, Alexandre Lourdeaux

Let $E / F$ be a quadratic field extension. For any positive integer $n$ an integral hermitian form over $E / F$ is called $n$ -universal if it represents all integral hermitian forms o…

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 $a > b > 0$ by setting $f_{a, b} (x) = n = 1 \sum \infty b^{n} d (x, S_{n})$ , where $S_{n}$ is a maximal $\frac…

Representations and n-universality of hermitian lattices over local and number fields

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

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

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

Representations and $n$ -universality of hermitian lattices over local and number fields