Bilinear pseudo-differential operators with symbols in BS^m_{1,1} on Triebel-Lizorkin spaces

Bilinear pseudo-differential operators with symbols in BS^m_{1,1} on Triebel-Lizorkin spaces
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Triebel-Lizorkin 空间上符号为 BS^m_{1,1} 的双线性伪微分算子

DOI:
10.1007/s00041-016-9518-2
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发表时间:
2017
影响因子:
1.2
通讯作者:
K. Koezuka and N. Tomita
K. Koezuka and N. Tomita
中科院分区:
数学3区
文献类型:
--
作者:
L. Grafakos;A. Miyachi;H.V. Nguyen;N. Tomita,;K. Koezuka and N. Tomita

文献摘要

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本文讨论了双线性Hörmander符号Classon Triebel-Lizorkin空间中带符号的双线性伪微分算子。从而得到了局部Hardy空间中的Kato-Ponce不等式。
In this paper, bilinear pseudo-differential operators with symbols in the bilinear Hörmander symbol classon Triebel–Lizorkin spaces are discussed. As a result, we can obtain the Kato–Ponce inequality in local Hardy spaces.