Bilinear pseudo-differential operators with exotic class symbols of limited smoothness

Tomoya Kato

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arXiv · 2001.04648

Bilinear pseudo-differential operators with exotic class symbols of limited smoothness

Tomoya Kato

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Abstract

We consider bilinear pseudo-differential operators with symbols in the bilinear H\"ormander class, $BS_{\rho, \rho}^m$, $m \in \mathbb{R}$, $0 \leq \rho < 1$. The aim of this paper is to discuss low regularity conditions for symbols to assure the boundedness from $L^2 \times L^2$ to $h^1$ and from $L^2 \times bmo$ to $L^2$.

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Tomoya Kato. 2020-01-14. Bilinear pseudo-differential operators with exotic class symbols of limited smoothness. https://arxiv.org/abs/2001.04648

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