Abstract
The optimal Orlicz target space and the optimal rearrangement-invariant tar-
get space are exhibited for embeddings of fractional-order Orlicz-Sobolev spaces
W^{s,A}(R^n). Related Hardy type inequalities are proposed as well. Versions for frac-
tional Orlicz-Sobolev seminorms of the Bourgain-Brezis-Mironescu theorem on the
limit as s->1^- and of the Maz'ya-Shaposhnikova theorem on the limit as s ->0^+
are established. This is a joint work with Andrea Cianchi, Lubos Pick and Lenka
Slavikova.
Anno
2021
Autori IAC
Tipo pubblicazione
Altri Autori
Angela Alberico