Some remarks on the Boyd functions related to the admissible sequences
Thomas LambyUniversité de Liège, Belgium
Samuel NicolayUniversité de Liège, Belgium
In this paper, we discuss the existing relations between the Boyd functions and the admissible sequences, with a particular interest to the Boyd indices. We introduce several results binding these notions and propose some constructions to obtain a Boyd function from an admissible sequence. We finally discuss the notion of generalized interpolation space based on these concepts.
Cite this article
Thomas Lamby, Samuel Nicolay, Some remarks on the Boyd functions related to the admissible sequences. Z. Anal. Anwend. 41 (2022), no. 1/2, pp. 211–227DOI 10.4171/ZAA/1705