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典型文献
WEIGHTED NORM INEQUALITIES FOR COMMUTATORS OF THE KATO SQUARE ROOT OF SECOND ORDER ELLIPTIC OPERATORS ON Rn
文献摘要:
Let L=-div(A▽)be a second order divergence form elliptic operator with bounded measurable coefficients in Rn.We establish weighted Lp norm inequalities for com-mutators 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.
文献关键词:
作者姓名:
Yanping CHEN;Yong DING;Kai ZHU
作者机构:
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
引用格式:
[1]Yanping CHEN;Yong DING;Kai ZHU-.WEIGHTED NORM INEQUALITIES FOR COMMUTATORS OF THE KATO SQUARE ROOT OF SECOND ORDER ELLIPTIC OPERATORS ON Rn)[J].数学物理学报(英文版),2022(04):1310-1332
A类:
WEIGHTED,INEQUALITIES,COMMUTATORS,KATO,ELLIPTIC,OPERATORS,mutators,Auscher,Martell
B类:
NORM,FOR,OF,THE,SQUARE,ROOT,SECOND,ORDER,Rn,Let,be,second,order,divergence,elliptic,operator,measurable,coefficients,We,establish,weighted,Lp,norm,inequalities,com,generated,by,Lipschitz,functions,where,range,different,from,isolate,right,class,weights,introduced,In,this,work,use,good,inequality,two,parameters,through,boundedness,Riesz,transforms,Our,result,recovers,some,sense,previous,Hofmann
AB值:
0.631247
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