On L1 endpoint Kato-Ponce inequality

被引：0
|
作者：
Oh, Seungly [1 ]
Wu, Xinfeng [2 ]
机构：
[1] Western New England Univ, Dept Math, Springfield, MA 01119 USA
[2] China Univ Min & Technol Beijing, Dept Math, Beijing 100083, Peoples R China
来源：
MATHEMATICAL RESEARCH LETTERS | 2020年 / 27卷 / 04期
关键词：
SMOOTHING PROPERTIES; WELL-POSEDNESS; LEBESGUE;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We prove that the following endpoint Kato-Ponce inequality holds: parallel to D-s (fg)parallel to (L) (q/q+1(Rn)) less than or similar to parallel to D-s f parallel to(L1(Rn))parallel to g parallel to(Lq(Rn)) +||f parallel to(L1(Rn))parallel to D(s)g parallel to(Lq(Rn)), for all 1 <= q <= infinity, provided s > n/q or s is an element of 2N. Endpoint estimates for several variants of Kato-Ponce inequality in mixed norm Lebesgue spaces are also presented. Our results complement and improve some existing results.
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页码：1129 / 1163
页数：35
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