PreprintCC BY-NC-ND 4.0arXiv
A proof of the Baranov--Bessonov--Kapustin conjecture
Abstract
We prove the conjecture of Baranov, Bessonov and Kapustin: for a non-constant inner function θ, every bounded truncated Toeplitz operator on the model space Kθ has a bounded symbol if and only if θ is one-component
Related
BibTeX
@misc{bellavita2026proof,
title = {{A proof of the Baranov--Bessonov--Kapustin conjecture}},
author = {Carlo Bellavita and Jani A. Virtanen},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.26232},
eprint = {2610.26232},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.26232},
note = {CC BY-NC-ND 4.0},
}
RIS
TY - UNPB
TI - A proof of the Baranov--Bessonov--Kapustin conjecture
AU - Carlo Bellavita
AU - Jani A. Virtanen
PY - 2026
DA - 2026/10/19
PB - arXiv
DO - 10.48550/arxiv.2610.26232
UR - https://arxiv.org/abs/2610.26232
AB - We prove the conjecture of Baranov, Bessonov and Kapustin: for a non-constant inner function θ, every bounded truncated Toeplitz operator on the model space K_θ has a bounded symbol if and only if θ is one-component
ER -