Subradial functions and compact embeddings

Winfried Sickel ; Leszek Skrzypczak

Trudy Matematicheskogo Instituta imeni V.A. Steklova, Function spaces and related problems of analysis, Tome 284 (2014), pp. 224-242.

Résumé

We investigate the compactness of embeddings of certain subsets of Nikol'skii–Besov spaces (defined on $\mathbb R^d$), consisting of essentially subradial functions, into Lebesgue spaces. Particular decay properties of radial functions are our main tool here.

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