Friday, March 21, 2025 - 11:00 in V2-205
Continuous and compact fractional Orlicz-Sobolev embeddings on domains
A talk in the Nonlocal Equations: Analysis and Numerics series by
Lubos Pick from Prague
| Abstract: |
Necessary and sufficient conditions will be offered for compact embeddings
of fractional Orlicz-Sobolev spaces into Orlicz spaces, or into rearrangement-invariant spaces, on bounded Lipschitz domains. The optimal Orlicz target
space and the optimal rearrangement-invariant target space for merely continuous embeddings, also on domains, will be exhibited. Sharp embedding
and compact embeddings of fractional Orlicz-Sobolev spaces into spaces
of uniformly continuous functions governed by moduli of continuity will be
characterized. This is a joint work with Angela Alberico, Andrea Cianchi
and Lenka Slavikova.
Within the CRC this talk is associated to the project(s): A7 |
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