Bilinear square spectral multipliers on stratified groups

被引：0
|
作者：
Jingxuan Fang
Jiman Zhao
机构：
[1] Beijing Normal University,Key Laboratory of Mathematics and Complex Systems, Ministry of Education, Institution of Mathematics and Mathematical Education, School of Mathematical Sciences
来源：
Journal of Pseudo-Differential Operators and Applications | 2020年 / 11卷
关键词：
Bilinear square spectral multiplier; Commutator; Stratified groups; 42B25; 43A80; 47B40;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, on stratified groups, we give a reasonable definition of bilinear square spectral multiplier and its commutator. Then we study their boundedness on weighted Lebesgue spaces under the assumption of its weak boundedness and a sum-type Hörmander condition. Besides, we show that, in Euclidean spaces, the smoothness conditions applied to ensure the boundedness of bilinear square Fourier multiplier can be replaced by the sum-type Hörmander condition.
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页码：267 / 288
页数：21
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