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arXiv · 2610.10884

Besov spaces and product BMO over polydisc

Chen Li·Kai Wang
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Abstract

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 $1\le p<\infty$. 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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Chen Li, Kai Wang. 2026-10-07. Besov spaces and product BMO over polydisc. https://arxiv.org/abs/2610.10884

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