典型文献
Two-weight Norm Inequalities for Local Fractional Integrals on Gaussian Measure Spaces
文献摘要：
In this paper,the authors establish the two-weight boundedness of the local fractional maximal operators and local fractional integrals on Gaussian measure spaces associated with the local weights.More precisely,the authors first obtain the two-weight weak-type estimate for the local-a fractional maximal operators of order α from Lp(v)to Lq,∞(u)with 1≤p≤q＜∞ under a condition of(u,v)∈∪b'＞aAb'p,q,α,and then obtain the two-weight weak-type estimate for the local fractional integrals.In addition,the authors obtain the two-weight strong-type boundedness of the local fractional maximal operators under a condition of(u,v)∈.Mp6a+9√da2p,q,αand the two-weight strong-type boundedness of the local fractional integrals.These estimates are established by the radialization method and dyadic approach.
文献关键词：
中图分类号：
作者姓名：
Bo Ning DI;Qian Jun HE;Dun Yan YAN
作者机构：
School of Mathematical Sciences,University of Chinese Academy of Sciences,Beijing 100049,P.R.China;School of Applied Science,Beijing Information Science and Technology University,Beijing 100192,P.R.China
文献出处：
引用格式：
[1]Bo Ning DI;Qian Jun HE;Dun Yan YAN-.Two-weight Norm Inequalities for Local Fractional Integrals on Gaussian Measure Spaces)[J].数学学报（英文版）,2022(07):1203-1228
A类：
aAb,Mp6a+9,da2p,radialization
B类：
Two,Norm,Inequalities,Local,Fractional,Integrals,Gaussian,Measure,Spaces,this,paper,authors,two,boundedness,local,fractional,maximal,operators,integrals,measure,spaces,associated,weights,More,precisely,first,obtain,weak,type,order,from,Lp,Lq,under,condition,then,addition,strong,These,estimates,are,established,by,method,dyadic,approach
AB值：
0.419358
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