Abstract
The optimal Orlicz target space and the optimal rearrangement-
invariant target 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 fractional 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
2020
Autori IAC
Tipo pubblicazione
Altri Autori
Angela Alberico