Dalimil Pevsa

collaborators

4 papers

math.FA2026

Amalgam approach to compactness in (quasi-)Banach function spaces

Dalimil PeÅ¡a, Ivan KotalÃk

We present amalgam-type characterisations of compactness in quasi-Banach function spaces. We further treat, in the same spirit, several related topics, namely convergence, (uniform…

math.AP2026

Singular semilinear elliptic equations in nondivergence form

Agnieszka KaÅamajska, Dalimil PeÅ¡a, Artur Rutkowski

We study the singular semilinear equation $- P u = \frac{f}{u ^{3}}$ on a bounded domain $I^c ◯$ with Dirichlet condition $u \equiv 0$ on $\partial I^c ◯$ , where $P$ is a second-order ellip…

math.FA2025

On the sums of rearrangement-invariant quasi-Banach function spaces and their relationship to amalgams

Dalimil PeÅ¡a

In this paper we consider the properties of sums of rearrangement-invariant quasi-Banach function spaces, with the focus being on rearrangement-invariance and the Fatou property. I…

math.FA2025

Mean and pointwise ergodicity for composition operators on rearrangement-invariant spaces

Thomas Kalmes, Dalimil PeÅ¡a

We study ergodicity of composition operators on rearrangement-invariant Banach function spaces. More precisely, we give a natural and easy-to-check condition on the symbol of the o…