2 papers
math.FA2026
Multipoint Characterization of Higher-Order Sobolev Spaces
Kacper Kurowski
In the paper, we prove a rather general characterization of higher-order Sobolev spaces. We show that the -order regularity, where , is captured via…
math.FA2024
New Characterizations of First Order Sobolev Spaces
Przemysław Górka, Kacper Kurowski
We provide new characterizations of Sobolev spaces that are true under some mild conditions. We study modified first order Sobolev spaces on metric measure spaces: -Ne…