典型文献
The Boundedness of Multilinear Commutators on Grand Variable Herz Spaces
文献摘要：
We consider multilinear commutators of singular integrals defined by T(b)f(x)=∫RnmΠi=1(bi(x)-bi(y))K(x,y)f(y)dy,where K is a standard Calderón-Zygmund kernel,m is a positive integer and(b)=(bi,b2,…,bm)is a family of m locally integrable functions.Based on the theory of variable exponent and on generalization of the BMO norm,we prove the boundedness of multilinear commutators T(b)on grand variable Herz spaces.The result is still new even in the special case of m=1.
文献关键词：
中图分类号：
作者姓名：
PENG Shan-shan;CHEN Ji-li
作者机构：
Business Management Department,Anhui Vocational College of Press and Publishing,Hefei 230601,China;Department of Mathematics and Computer Science,Tongling University,Tongling 244000,China
文献出处：
引用格式：
[1]PENG Shan-shan;CHEN Ji-li-.The Boundedness of Multilinear Commutators on Grand Variable Herz Spaces)[J].数学季刊（英文版）,2022(02):203-213
A类：
Multilinear,Rnm,bm
B类：
Boundedness,Commutators,Grand,Variable,Herz,Spaces,We,consider,multilinear,commutators,singular,integrals,defined,by,bi,dy,where,is,standard,Calder,Zygmund,kernel,positive,integer,b2,family,locally,integrable,functions,Based,theory,variable,exponent,generalization,BMO,norm,we,prove,boundedness,grand,spaces,result,still,new,even,special,case
AB值：
0.686876
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