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

页码：489 / 501

页数：13

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