Isometric composition operators on the analytic Besov spaces

Robert F. Allen; Katherine Heller; Matthew A. Pons

doi:10.1016/j.jmaa.2013.12.053

paper

Isometric composition operators on the analytic Besov spaces

arXiv:2207.12634 · doi:10.1016/j.jmaa.2013.12.053

Abstract

We investigate the isometric composition operators on the analytic Besov spaces. For $1 < p < 2$ we show that an isometric composition operator is induced only by a rotation of the disk. For $p > 2$ , we extend previous work on the subject. Finally, we analyze this same problem for the Besov spaces with an equivalent norm.