Publikace na Matematicko-fyzikální fakulta |
2023
Abstrakt
A necessary and sufficient condition for fractional Orlicz-Sobolev spaces to be continuously embedded into L infinity(Rn) is exhibited. Under the same assumption, any function from the relevant fractional-order spaces is shown to be continuous.
Improvements of this result are also offered. They provide the optimal Orlicz target space, and the optimal rearrangement-invariant target space in the embedding in question.
These results complement those already available in the subcritical case, where the embedding into L infinity(Rn) fails. They also augment a classical embedding theorem for standard fractional Sobolev spaces.(c) 2023 Elsevier Ltd.
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