Maximal functions and multipliers for subkernels of Toeplitz operators
Functional Analysis
2026-02-27 v1
Abstract
We study the relations between maximal functions in a Toeplitz kernel and those in a subkernel of the same Toeplitz operator, as well as the question of how multipliers between Toeplitz kernels act on subkernels. We use those relations to obtain model space representations, in particular isometric model space representations and Hayashi's representation, for some important classes of Toeplitz kernels.
Cite
@article{arxiv.2602.22411,
title = {Maximal functions and multipliers for subkernels of Toeplitz operators},
author = {M. Cristina Câmara and C. Carteiro and C. Diogo},
journal= {arXiv preprint arXiv:2602.22411},
year = {2026}
}