Geodesic
Subradial functions and compact embeddings
Informatics and Automation, Function spaces and related problems of analysis, Tome 284 (2014), pp. 224-242

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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. 
@article{TRSPY_2014_284_a15,
     author = {Winfried Sickel and Leszek Skrzypczak},
     title = {Subradial functions and compact embeddings},
     journal = {Informatics and Automation},
     pages = {224--242},
     publisher = {mathdoc},
     volume = {284},
     year = {2014},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/TRSPY_2014_284_a15/}
}
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Winfried Sickel; Leszek Skrzypczak. Subradial functions and compact embeddings. Informatics and Automation, Function spaces and related problems of analysis, Tome 284 (2014), pp. 224-242. http://geodesic.mathdoc.fr/item/TRSPY_2014_284_a15/