Hana Turčinová

activity

20202025

most citedBasic functional properties of certain scale of rearrangement-invariant spaces

6 citations · 14 across the 5 of their papers we have counts for

collaborators

5 papers

math.FA2025

The Persson--Stepanov theorem revisited

Amiran Gogatishvili, Luboš Pick, Hana Turčinová +1

We develop a new proof of the result of L.-E.~Persson and V.D.~Stepanov \cite[Theorems 1 and 3]{Per:02}, which provides a characterization of a Hardy integral inequality involving…

math.FA2024★ 2 cited

On the properties of rearrangement-invariant quasi-Banach function spaces

Anna Musilová, Aleš Nekvinda, Dalimil Peša +1

This paper explores some important aspects of the theory of rearrangement-invariant quasi-Banach function spaces. We focus on two main topics. Firstly, we prove an analogue of the…

math.FA2022★ 2 cited

Characterization of functions with zero traces via the distance function and Lorentz spaces

Aleš Nekvinda, Hana Turčinová

Consider a regular domain $Ω \subset R^{N}$ and let $d (x) = dist (x, \partial Ω)$ . Denote $L_{a}^{1, \infty} (Ω)$ the space of functions from $L^{1, \infty} (Ω)$ having a…

math.FA2020★ 4 cited

Discretization and antidiscretization of Lorentz norms with no restrictions on weights

Martin Křepela, Zdeněk Mihula, Hana Turčinová

We improve the discretization technique for weighted Lorentz norms by eliminating all "non-degeneracy" restrictions on the involved weights. We use the new method to provide equiva…

math.FA2020★ 6 cited

Basic functional properties of certain scale of rearrangement-invariant spaces

Hana Turčinová

Let $X$ be a rearrangement-invariant space over a non-atomic $σ$ -finite measure space $(R, μ)$ and let $α \in (0, \infty)$ . We define the functional \begin{equation*} \|f\|_{…