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Besov spaces and product BMO over polydisc
Abstract
We prove that the analytic Besov space Bp,p1/p(C+n) embeds continuously into Chang--Fefferman product BMO for every finite n and 1≤ p<∞. Consequently, every small Hankel operator in a finite Schatten class has a product BMO symbol. The proof uses smooth product wavelets and an estimate for dyadic rectangles. We also give a condition on Fejér means that yields a BMO symbol for a bounded Hankel operator on the polydisc.
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BibTeX
@misc{li2026besov,
title = {{Besov spaces and product BMO over polydisc}},
author = {Chen Li and Kai Wang},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.10884},
eprint = {2610.10884},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.10884},
}
RIS
TY - UNPB
TI - Besov spaces and product BMO over polydisc
AU - Chen Li
AU - Kai Wang
PY - 2026
DA - 2026/10/07
PB - arXiv
DO - 10.48550/arxiv.2610.10884
UR - https://arxiv.org/abs/2610.10884
AB - We prove that the analytic Besov space B_p,p^1/p(C_+^n) embeds continuously into Chang--Fefferman product BMO for every finite n and 1≤ p<∞. Consequently, every small Hankel operator in a finite Schatten class has a product BMO symbol. The proof uses smooth product wavelets and an estimate for dyadic rectangles. We also give a condition on Fejér means that yields a BMO symbol for a bounded Hankel operator on the polydisc.
ER -