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arXiv · 2010.13280

On the ranges of bilinear pseudo-differential operators of $S_{0,0}$-type on $L^2 \times L^2$

Naoki Hamada·Naoto Shida·Naohito Tomita
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Abstract

In this paper, the ranges of bilinear pseudo-differential operators of $S_{0,0}$-type on $L^2 \times L^2$ are determined in the framework of Besov spaces. Our result improves the $L^2 \times L^2 \to L^1$ boundedness of those operators with symbols in the bilinear H\"ormander class $BS^m_{0,0}$.

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Naoki Hamada, Naoto Shida, Naohito Tomita. 2020-10-26. On the ranges of bilinear pseudo-differential operators of $S_{0,0}$-type on $L^2 \times L^2$. https://arxiv.org/abs/2010.13280

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