Composition operators on de Branges spaces of entire functions
Functional Analysis
2026-05-13 v2
Abstract
This paper aims to study the boundedness and compactness of composition operators from model spaces to the Hardy Hilbert spaces in the upper half-plane. Consequently, we investigate the boundedness and compactness of composition operators on de Branges spaces of entire functions. Moreover, we observe that the boundedness of a composition operator on a regular de Branges space forces the inducing symbol to be affine; conversely, affine symbols under appropriate conditions yield bounded composition operators. Furthermore, we show that the behaviour of boundedness and compactness of composition operators on general de Branges spaces is different from that on the Paley-Wiener spaces.
Cite
@article{arxiv.2604.06801,
title = {Composition operators on de Branges spaces of entire functions},
author = {Bharti Garg and Subhankar Mahapatra and Santanu Sarkar},
journal= {arXiv preprint arXiv:2604.06801},
year = {2026}
}
Comments
A revised version