PreprintCC BY 4.0arXiv
Failure of Nehari's Theorem for Multiplicative Hankel Forms in Schatten Classes II
Abstract
We prove that for any p>4 we can find a Schatten class Hankel operator Haϕ defined on the Hardy space of the infinite torus H2(𝕋∞) that belongs to the Schatten class Sp but does not admit a bounded symbol, extending the previously known range p>(1−logπ/log 4)−1=5.7388....
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BibTeX
@misc{bampouras2026failure,
title = {{Failure of Nehari's Theorem for Multiplicative Hankel Forms in Schatten Classes II}},
author = {Konstantinos Bampouras},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.06728},
eprint = {2610.06728},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.06728},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Failure of Nehari's Theorem for Multiplicative Hankel Forms in Schatten Classes II
AU - Konstantinos Bampouras
PY - 2026
DA - 2026/10/05
PB - arXiv
DO - 10.48550/arxiv.2610.06728
UR - https://arxiv.org/abs/2610.06728
AB - We prove that for any p>4 we can find a Schatten class Hankel operator Ha_ϕ defined on the Hardy space of the infinite torus H^2(𝕋^∞) that belongs to the Schatten class S^p but does not admit a bounded symbol, extending the previously known range p>(1−logπ/log 4)^−1=5.7388....
ER -