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arXiv · 2506.13669

Fractional Orlicz-Sobolev embeddings into Campanato type spaces

Angela Alberico·Andrea Cianchi·Luboš Pick·Lenka Slavíková
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Abstract

Optimal embeddings for fractional Orlicz-Sobolev spaces into (generalized) Campanato spaces on the Euclidean space are exhibited. Embeddings into vanishing Campanato spaces are also characterized. Sharp embeddings into $\operatorname{BMO}(\mathbb R^n)$ and $\operatorname{VMO}(\mathbb R^n)$ are derived as special instances. Dissimilarities to corresponding embeddings for classical fractional Sobolev spaces are pointed out.

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Angela Alberico, Andrea Cianchi, Luboš Pick, Lenka Slavíková. 2025-06-16. Fractional Orlicz-Sobolev embeddings into Campanato type spaces. https://arxiv.org/abs/2506.13669

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