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Real Interpolation of Sobolev Spaces on Subdomains of Rn

Published online by Cambridge University Press:  20 November 2018

R. A. Adams  and
J. J. F. Fournier
R. A. Adams
Affiliation:
University of British Columbia, Vancouver, British Columbia
J. J. F. Fournier
Affiliation:
University of British Columbia, Vancouver, British Columbia
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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.

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 30 , Issue 1 , 01 February 1978 , pp. 190 - 214
Copyright
Copyright © Canadian Mathematical Society 1978

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