Some remarks on the Boyd functions related to the admissible sequences

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.

Automated summary

This paper discusses the existing relations between Boyd functions and admissible sequences, with a focus on Boyd indices. The paper introduces several results that connect these concepts and proposes constructions to obtain a Boyd function from an admissible sequence. Finally, the notion of generalized interpolation space based on these concepts is discussed.