Boundedness of multilinear pseudo-differential operators with symbols in the Hormander class S_{0,0}
Boundedness of multilinear pseudo-differential operators with symbols in the Hormander class S_{0,0}
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带 Hormander 类 S_{0,0} 中符号的多线性伪微分算子的有界性
DOI：
10.1016/j.jfa.2021.109329
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发表时间：
2022
影响因子：
1.7
通讯作者：
N. Tomita
中科院分区：
文献类型：
--
作者：
T. Kato;A. Miyachi;N. Tomita
考虑了符号在多线性Hörmander类S0，0中的多线性伪微分算子.一个完整的识别的情况下，这些运营商定义有界运营商之间的局部哈代空间。给出了Wiener汞齐空间之间的有界性的一些结果。这些是双线性情形下已知结果的推广和改进。
The multilinear pseudo-differential operators with symbols in the multilinear Hörmander class S 0, 0 are considered. A complete identification of the cases where those operators define bounded operators between local Hardy spaces is given. Some results for the boundedness between Wiener amalgam spaces are also given. These are extensions and improvements of the results known in the bilinear case.