Some recent results on the theory of fractional Orlicz-Sobolev spaces are surveyed. They concernSobolev type embeddings for these spaces with an optimal Orlicz target, related Hardy type inequalities, andcriteria for compact embeddings. The limits of these spaces when the smoothness parameter s in (0, 1) tendsto either of the endpoints of its range are also discussed. This note is based on the papers [1, 2, 3, 4], whereadditional material and proofs can be found.
On fractional Orlicz-Sobolev spaces
Angela Alberico;
2021
Abstract
Some recent results on the theory of fractional Orlicz-Sobolev spaces are surveyed. They concernSobolev type embeddings for these spaces with an optimal Orlicz target, related Hardy type inequalities, andcriteria for compact embeddings. The limits of these spaces when the smoothness parameter s in (0, 1) tendsto either of the endpoints of its range are also discussed. This note is based on the papers [1, 2, 3, 4], whereadditional material and proofs can be found.File in questo prodotto:
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