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具有变量核的积分算子在Bq,λ(Rn)空间的有界性
The Boundedness of Integral Operators with Variable Kernel in Bq,λ(Rn) Spaces
【摘要】 主要讨论两类带变量核的积分算子的性质,证明了带变量核的分数次积分算子TΩ,μ是从Bp,λ1(Rn)到Bq,λ2(Rn)上的有界算子,其交换子TbΩ,μ是从Bp,λ1(Rn)到Bq,λ2(Rn)上的有界算子.对于变量核的奇异积分及其交换子,也有类似的结论.
【Abstract】 In this paper we discuss the properties of two kinds of integral operator with variable kernel and prove that fractional integral operator with variable kernel TΩ,μ is bounded from Bp,λ1(Rn).We also show that the commutator TbΩ,μ is bounder from Bp,λ1(Rn) into Bq,λ2(Rn).Similar results are obtained for singualar integral and its commutators.
【关键词】 变量核;
分数次积分;
Bq,λ(Rn)空间;
奇异积分算子;
【Key words】 variable kernel; fractional integral; Bq,λ(Rn) space; singular integral operator;
【Key words】 variable kernel; fractional integral; Bq,λ(Rn) space; singular integral operator;
【基金】 国家自然科学基金(10571014,10571154);江西师范大学青年教师成长基金资助项目
- 【文献出处】 江西师范大学学报(自然科学版) ,Journal of Jiangxi Normal University(Natural Sciences Edition) , 编辑部邮箱 ,2008年03期
- 【分类号】O177
- 【下载频次】40