2 papers
math.FA2024
Gagliardo-Nirenberg inequality via a new pointwise estimate
Karol Lesnik, Tomas Roskovec, Filip Soudsky
We prove a new type of pointwise estimate of the Kalamajska-Mazya-Shaposhnikova type, where sparse averaging operators replace the maximal operator. It allows us to extend the Gagl…
math.OC2023
An elementary proof of Acerbi Fusco minimizer existence theorem
Tomáš G. Roskovec, Filip Soudský
The weak lower semicontinuity of the functional is a classical topic that was studied thoroughly. It was shown that if the function is cont…