Vector-valued Inequalities for Commutators of Singular Integrals on Herz Spaces with Variable Exponents  

作　　者：WANG LI-WEI QU MENG SHU LI-SHENG Ji You-qing 

机构地区：[1]School of Mathematics and Physics,Anhui Polytechnic University [2]School of Mathematics and Computer Science,Anhui Normal University [3]不详

出　　处：《Communications in Mathematical Research》2017年第4期363-376,共14页数学研究通讯（英文版）

基　　金：The NSF(11471033)of China

摘　　要：Based on the theory of variable exponents and BMO norms, we prove the vector-valued inequalities for commutators of singular integrals on both homogeneous and inhomogeneous Herz spaces where the two main indices are variable exponents.Furthermore, we show that a wide class of commutators generated by BMO functions and sublinear operators satisfy vector-valued inequalities.Based on the theory of variable exponents and BMO norms, we prove the vector-valued inequalities for commutators of singular integrals on both homogeneous and inhomogeneous Herz spaces where the two main indices are variable exponents.Furthermore, we show that a wide class of commutators generated by BMO functions and sublinear operators satisfy vector-valued inequalities.

关 键 词：variable exponent Herz spaces COMMUTATOR singular integral 

分 类 号：O177[理学—数学]