Embedding functions and their role in interpolation theory
The embedding functions of an intermediate space \(A\) into a Banach couple \((A_{0},A_{1})\) are defined as its embedding constants into the couples \((\frac{1}{\alpha}A_{0},\frac{1}{\beta}A_{1}),\) for all \(\alpha,\beta>0.\) Using these functions, properties of different intermediate spaces are studied and a new description is given of all real interpolation spaces and an extension of Krein-Semenov's interpolation theorem is obtained. The precise statements are to technical to be given here. My opinion is that this paper is interesting for those who are working in interpolation theory.
scientific article; zbMATH DE number 1370662