摘要
Let L=-div(A▽) be a second order divergence form elliptic operator with bounded measurable coefficients in R^(n).We establish weighted L^(p) norm inequalities for commutators generated by √L and Lipschitz functions,where the range of p is different from(1,∞),and we isolate the right class of weights introduced by Auscher and Martell.In this work,we use good-λ inequality with two parameters through the weighted boundedness of Riesz transforms ▽L^(-1/2).Our result recovers,in some sense,a previous result of Hofmann.
作者
Yanping CHEN
Yong DING
Kai ZHU
陈艳萍;丁勇;朱凯(Department of Applied Mathematics,School of Mathematics and Physics,University of Science and Technology Beijing,Beijing 100083,China;Laboratory of Mathematics and Complex Systems,School of Mathematical Sciences,Beijing Normal University,Ministry of Education of China,Beijing 100875,China;School of Mathematical Sciences,University of Chinese Academy of Sciences,Beijing 100049,China)
基金
supported by NSFC(11871096
11471033)
supported by NSFC(11371057
11471033
11571160)
SRFDP(20130003110003)
the Fundamental Research Funds for the Central Universities(2014KJJCA10)。
