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Interpolation of 2 d Banach Spaces and the Calderón Spaces X ( E )
Author(s) -
Fernandez Dicesar Lass
Publication year - 1988
Publication title -
proceedings of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.899
H-Index - 65
eISSN - 1460-244X
pISSN - 0024-6115
DOI - 10.1112/plms/s3-56.1.143
Subject(s) - mathematics , interpolation space , banach space , sobolev space , pure mathematics , interpolation (computer graphics) , birnbaum–orlicz space , lp space , equivalence (formal languages) , hardy space , besov space , mathematical analysis , discrete mathematics , functional analysis , image (mathematics) , computer science , biochemistry , chemistry , artificial intelligence , gene
We show that the equivalence of the K and J methods of interpolation for 2 d Banach spaces holds in the case of the Calderón spaces X ( E ). Consequently, the reiteration theorem also holds. As an application we determine interpolation spaces among families of non‐isotropic spaces of Besov‐Nikol'skij and Hardy‐Sobolev‐Nikol'skij type.