Geodesic
Compactness of Embeddings of Sobolev Type on Metric Measure Spaces
Matematičeskie zametki, Tome 86 (2009) no. 6, pp. 829-844 Cet article a éte moissonné depuis la source Math-Net.Ru

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We establish conditions for the compactness of embeddings for some classes of functions on metric space with measure satisfying the duplication condition. These classes are defined in terms of the $L^p$-summability of maximal functions measuring local smoothness.
Keywords: embedding of Sobolev type, metric measure space, Hardy–Littlewood maximal function, Sobolev space, Borel measure
Mots-clés : Hölder class, Lebesgue measure. 
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I. A. Ivanishko; V. G. Krotov. Compactness of Embeddings of Sobolev Type on Metric Measure Spaces. Matematičeskie zametki, Tome 86 (2009) no. 6, pp. 829-844. http://geodesic.mathdoc.fr/item/MZM_2009_86_6_a2/

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