The Equivalence Theorem for Logarithmic Interpolation Spaces in the Quasi-Banach Case

  • Blanca F. Besoy

    Universidad Politécnica de Madrid, Spain
  • Fernando Cobos

    Universidad Complutense de Madrid, Spain
The Equivalence Theorem for Logarithmic Interpolation Spaces in the Quasi-Banach Case cover
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Abstract

We study the description by means of the -functional of logarithmic interpolation spaces in the category of the -normed quasi-Banach couples (). When is a Banach couple, it is known that the description changes depending on the relationship between and . In our more general setting, the parameter also has an important role as the results show.

Cite this article

Blanca F. Besoy, Fernando Cobos, The Equivalence Theorem for Logarithmic Interpolation Spaces in the Quasi-Banach Case. Z. Anal. Anwend. 40 (2021), no. 1, pp. 1–32

DOI 10.4171/ZAA/1670