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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…
math.FA2021★ 3 cited
Marcinkiewicz Sampling Theorem for Orlicz Spaces
Aleksander Pawlewicz, Michał Wojciechowski
In the article we generalize the Marcinkiewicz sampling theorem in the context of Orlicz spaces. We establish conditions under which sampling theorem holds in terms of restricted s…