Dalimil Peša

collaborators

3 papers

math.FA2025

Wiener-Luxemburg amalgam spaces

Dalimil PeÅ¡a

In this paper we introduce the concept of Wiener-Luxemburg amalgam spaces which are a modification of the more classical Wiener amalgam spaces intended to address some of the short…

math.AP2025

Non-linear Gagliardo--Nirenberg inequality involving a second-order elliptic operator in non-divergent form

Agnieszka KaÅamajska, Dalimil PeÅ¡a, TomÃ¡Å¡ Roskovec

We obtain the inequalities of the form $\int_{I^} c ◯ ∣\nabla u (x) ∣^{2} h (u (x)) d x \leq C \int_{I^} c ◯ (∣ P u (x) ∣∣ T_{H} (u (x)) ∣)^{2} h (u (x)) d x + I^,$ where…

math.FA2024

Absolute continuity of the (quasi)norm in rearrangement-invariant spaces

Dalimil PeÅ¡a

This paper explores the interactions of absolute continuity of the (quasi)norm with the concepts that are fundamental in the theory of rearrangement-invariant (quasi-)Banach functi…