Real Interpolation of Sobolev Spaces on Subdomains of Rn
Canadian journal of mathematics, Tome 30 (1978) no. 1, pp. 190-214

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The real interpolation method is a very convenient tool in the study of imbedding relationships among Sobolev spaces and some of their fractional order generalizations, (Besov spaces, Nikolskii spaces etc.) Central to the application of these methods is the a priori determination that a given Sobolev space Wk'p(Ω) belongs to an appropriate class of spaces intermediate between two other “extreme” spaces.
Adams, R. A.; Fournier, J. J. F. Real Interpolation of Sobolev Spaces on Subdomains of Rn. Canadian journal of mathematics, Tome 30 (1978) no. 1, pp. 190-214. doi: 10.4153/CJM-1978-018-8
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