3 papers
math.FA2025
Factoring the Sobolev embedding operator
Krystian Kazaniecki, Aleksander Pawlewicz, Michał Wojciechowski
The paper studies the factorization and summing properties of the Sobolev embedding operator. We propose two different approaches. One shows that the Sobolev embedding operator $S:…
math.FA2022
Measures Determined by the Restriction of Convolution Powers to the Proper Concave Cone
Aleksander Pawlewicz
Let and be two non-degenerate finite signed Borel measures defined on a proper convex cone of . We prove that if all convolution powers of and are app…
math.FA2021
On the Embedding of Space into Besov-Orlicz Space
Aleksander Pawlewicz, Michał Wojciechowski
We give a sufficient (and, in the case of a compact domain, a necessary) condition for the embedding of Sobolev space of functions with integrable gradient into Besov-Orlicz spaces…