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arXiv · 2103.11283

Boundedness of bilinear pseudo-differential operators of $S_{0,0}$-type in Wiener amalgam spaces and in Lebesgue spaces

Tomoya Kato·Akihiko Miyachi·Naohito Tomita
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Abstract

We extend and improve the known results about the boundedness of the bilinear pseudo-differential operators with symbols in the bilinear H\"ormander class $BS^{m}_{0,0}(\mathbb{R}^n)$. We consider wider classes of symbols and improve estimates for the corresponding operators. A key idea is to consider the operators in Wiener amalgam spaces.

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Tomoya Kato, Akihiko Miyachi, Naohito Tomita. 2021-03-21. Boundedness of bilinear pseudo-differential operators of $S_{0,0}$-type in Wiener amalgam spaces and in Lebesgue spaces. https://arxiv.org/abs/2103.11283

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