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

  • Ron Kerman
  • Mario Milman
  • Gord Sinnamon
DOI: https://doi.org/10.5209/rev_REMA.2007.v20.n2.16492
Keywords: Interpolation spaces, Rearrangement-invariant spaces, Lorentz spaces, Orlicz spaces, Duality,

Abstract

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.
View Citations

Format

Crossmark

Metrics

Published
2007-09-13
How to Cite
Kerman, R., Milman, M., & 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
Issue
Vol. 20 No. 2 (2007)
Section
Articles

License

LICENCE OF USE: The full text articles included on the Scientific Journals of the Complutense website are open access and the property of their authors and/or publishers. Therefore, any reproduction, distribution, public communication and/or total or partial transformation requires their express and written consent. Links to the full text of the articles on the Scientific Journals of the Complutense website should be to the official URL of the Complutense University of Madrid.