3 papers
math.FA2026
Wiener--Luxemburg amalgam spaces revisited
Ivan Kotalík
The fundamental reliance on nonincreasing rearrangements restricts the recently introduced Wiener--Luxemburg amalgam spaces only to the rearrangement-invariant setting. To overcome…
math.FA2026
On optimal endpoints for integral kernel operators
Ivan KotalÃk
In this paper, we study the behavior of integral kernel operators acting on functions of a single real variable. In particular, we attempt to find possible candidates for their opt…
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…