On generalized Lorentz-Zygmund spaces

Bohumı́r Opic, Luboš Pick

Type: Article

Publication Date: 1999-01-01

Citations: 111

DOI: https://doi.org/10.7153/mia-02-35

Abstract

We study generalized Lorentz-Zygmund spaces with broken logarithmic functions.We derive necessary and sufficient conditions for embeddings between them.We give a complete characterization of their associate spaces.We establish necessary and sufficient conditions for a generalized Lorentz-Zygmund space to be a Banach function space and to have absolutely continuous (quasi-)norm.We describe completely relations between these spaces and Orlicz spaces.

Locations

Mathematical Inequalities & Applications - View - PDF

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