On the Brudny˘ı-Krugljak Duality Theory of Spaces Formed by the K-Method of Interpolation

Ron Kerman, Mario Milman, Gord Sinnamon


The Brudny˘ı-Krugljak duality theory for the K-method is elaborated for a class of parameters derived from rearrangement-invariant spaces. As examples, concrete expressions are given for the norms dual to certain interpolation spaces between two rearrangement-invariant spaces. These interpolation spaces are formed by the K-method using parameters related to classical Lorentz spaces or Orlicz spaces.

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Revista Matemática Complutense
ISSN-e 1988-2807

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