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

  • Ron Kerman
  • Mario Milman
  • Gord Sinnamon

Résumé

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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Publié-e
2007-09-13
Comment citer
Kerman R. ., Milman M. . y Sinnamon G. . (2007). On the Brudny˘ı-Krugljak Duality Theory of Spaces Formed by the K-Method of Interpolation. Revista Matemática Complutense, 20(2), 367-389. https://doi.org/10.5209/rev_REMA.2007.v20.n2.16492
Rubrique
Artículos