Corpus ID: 210473723

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

@inproceedings{Kato2020BilinearPO,
title={Bilinear pseudo-differential operators with exotic class symbols of limited smoothness},
author={Tomoya Kato},
year={2020}
}
• Tomoya Kato
• Published 2020
• Mathematics
• 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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