Boundedness of bilinear pseudo-differential operators of $S_{0,0}$-type on $L^2 \times L^2$
Boundedness of bilinear pseudo-differential operators of $S_{0,0}$-type on $L^2 \times L^2$
复制标题
$S_{0,0}$型双线性伪微分算子在$L^2 imes L^2$上的有界性
DOI：
10.1007/s11868-021-00391-1
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发表时间：
2021
影响因子：
1.1
通讯作者：
N. Tomita,
中科院分区：
文献类型：
--
作者：
T. Kato;A. Miyachi;N. Tomita,
本文推广了已知的结果：符号在双线性Hörmander类中的双线性伪微分算子是有界的.我们表明，这些运营商也有界从每。此外，我们给出了类似的结果，符号类宽于。我们也给出了有限光滑符号的结果。
We extend the known result that the bilinear pseudo-differential operators with symbols in the bilinear Hörmander classare bounded fromto. We show that those operators are also bounded fromtofor every. Moreover we give similar results for symbol classes wider than. We also give results for symbols of limited smoothness.