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arXiv · 2001.05861

A remark on bilinear pseudo-differential operators with symbols in the Sj\"ostrand class

Tomoya Kato
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Abstract

In this short note, we consider bilinear pseudo-differential operators with symbols belonging to the Sj\"ostrand class. We show that those operators are bounded from the product of the $L^2$-based Sobolev spaces $H^{s_1} \times H^{s_2}$ to $L^r$ for $s_1,s_2 > 0$, $s_1+s_2=n/2$, and $1 \leq r \leq 2$.

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Tomoya Kato. 2020-01-14. A remark on bilinear pseudo-differential operators with symbols in the Sj\"ostrand class. https://arxiv.org/abs/2001.05861

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