Logarithmic Interpolation Spaces between Quasi-Banach Spaces

  • Fernando Cobos

    Universidad Complutense de Madrid, Spain
  • Luz M. Fernández-Cabrera

    Universidad Complutense de Madrid, Spain
  • Antonio Manzano

    Escuela Politécnica Superior, Burgos, Spain
  • Antón Martínez

    E.T.S. Ingenieros Industriales, Vigo, Spain

Abstract

Let and be quasi-Banach spaces with . By means of a direct approach, we show that the interpolation spaces on generated by the function parameter can be expressed in terms of classical real interpolation spaces. Applications are given to Zygmund spaces , Lorentz-Zygmund function spaces and operator spaces defined by using approximation numbers.

Cite this article

Fernando Cobos, Luz M. Fernández-Cabrera, Antonio Manzano, Antón Martínez, Logarithmic Interpolation Spaces between Quasi-Banach Spaces. Z. Anal. Anwend. 26 (2007), no. 1, pp. 65–86

DOI 10.4171/ZAA/1311