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 BMO(R^n) and VMO(R^n) are derived as special instances. Dissimilarities to corresponding embeddings for classical fractional Sobolev spaces are pointed out.
Fractional Orlicz–Sobolev embeddings into Campanato type spaces / Alberico A.; Cianchi A.; Pick L.; Slavikova L.. - In: NONLINEAR ANALYSIS: REAL WORLD APPLICATIONS. - ISSN 1468-1218. - STAMPA. - 87:(2026), pp. 104455.0-104455.0. [10.1016/j.nonrwa.2025.104455]
Fractional Orlicz–Sobolev embeddings into Campanato type spaces
Cianchi A.
;
2026
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 BMO(R^n) and VMO(R^n) are derived as special instances. Dissimilarities to corresponding embeddings for classical fractional Sobolev spaces are pointed out.
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