Isometric composition operators on the analytic Besov spaces
Functional Analysis
2022-07-27 v1
Abstract
We investigate the isometric composition operators on the analytic Besov spaces. For we show that an isometric composition operator is induced only by a rotation of the disk. For , we extend previous work on the subject. Finally, we analyze this same problem for the Besov spaces with an equivalent norm.
Keywords
Cite
@article{arxiv.2207.12634,
title = {Isometric composition operators on the analytic Besov spaces},
author = {Robert F. Allen and Katherine Heller and Matthew A. Pons},
journal= {arXiv preprint arXiv:2207.12634},
year = {2022}
}