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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