Recovering Product BMO from Schatten Hankel operators
Functional Analysis
2026-05-05 v2 Classical Analysis and ODEs
Complex Variables
Abstract
We prove that if a small Hankel operator on the product Hardy space belongs to some Schatten class , , then it has a symbol in product BMO. In other words, the conclusion of Nehari's theorem holds under the hypothesis that the operator belongs to a Schatten class.
Cite
@article{arxiv.2604.26722,
title = {Recovering Product BMO from Schatten Hankel operators},
author = {Konstantinos Bampouras and Karl-Mikael Perfekt},
journal= {arXiv preprint arXiv:2604.26722},
year = {2026}
}
Comments
Ver2: Added a remark after Theorem 1.1. Fixed a typo in the statement of Lemma 3.1