Weighted variation inequalities for differential operators and singular integrals in higher dimensions  

作　　者：MA Tao TORREA Jose L. XU QuanHua 

机构地区：[1]School of Mathematics and Statistics,Wuhan University [2]Departamento de Matemticas,Universidad Autónoma de Madrid [3]Institute for Advanced Study in Mathematics,Harbin Institute of Technology [4]Laboratoire de Mathematiques,Universite de Franche-Comte [5]Institut Universitaire de France

出　　处：《Science China Mathematics》2017年第8期1419-1442,共24页中国科学：数学（英文版）

基　　金：supported by National Natural Science Foundation of China(Grant Nos.11671308 and 11431011);Ministerio de Economia y Competitividad/al Fondo Europeo de Desarrollo Regional(Grant No.MTM2015-66157-C2-1-P)

摘　　要：We prove weighted q-variation inequalities with 2<q<∞for sharp truncations of singular integral operators in higher dimensions.The vector-valued extensions of these inequalities are also given.Parallel results are proven for differential operators.We prove weighted q-variation inequalities with 2 〈 q 〈 θ for sharp truncations of singular integral operators in higher dimensions. The vector-valued extensions of these inequalities are also given. Parallel results are proven for differential operators.

关 键 词：variation inequalities A_(p) weights differential operators singular integrals vector-valued variationin equalities 

分 类 号：O175.3[理学—数学] O177.6[理学—基础数学]