Commutators of pseudo-differential operators on local Hardy spaces

被引：0
|
作者：
Komori-Furuya, Y. [1 ]
机构：
[1] Tokai Univ, Sch High Technol Human Welf, 317 Nishino Numazu Shizuoka, Tokai, Ibaraki 4100395, Japan
来源：
ACTA SCIENTIARUM MATHEMATICARUM | 2011年 / 77卷 / 3-4期
关键词：
pseudo-differential operator; commutator; Hardy space; local Hardy space;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We consider the commutator operator [B, sigma(x, D)] of the multiplication operator by a function B and a pseudo-differential operator sigma(x, D), and prove that [B, sigma( x, D)] is bounded on the local Hardy spaces h(p)(R-n). We also show that our result is optimal.
引用
收藏
页码：489 / 501
页数：13
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