带变量核的分数次积分交换子在变指数Herz-Morrey空间上的有界性

赵欢,周疆

doi:10.13718/j.cnki.xsxb.2018.06.003

西南师范大学学报(自然科学版)

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带变量核的分数次积分交换子在变指数Herz-Morrey空间上的有界性

赵欢,周疆. 带变量核的分数次积分交换子在变指数Herz-Morrey空间上的有界性[J]. 西南师范大学学报(自然科学版), 2018, 43(6): 11-16. doi: 10.13718/j.cnki.xsxb.2018.06.003

引用本文:

ZHAO Huan, ZHOU Jiang. Boundedness for Commutators of Fractional Integral with Variable Kernel on Variable Exponent Herz-Morrey Spaces[J]. Journal of Southwest China Normal University(Natural Science Edition), 2018, 43(6): 11-16. doi: 10.13718/j.cnki.xsxb.2018.06.003

Citation:

ZHAO Huan, ZHOU Jiang. Boundedness for Commutators of Fractional Integral with Variable Kernel on Variable Exponent Herz-Morrey Spaces[J]. Journal of Southwest China Normal University(Natural Science Edition), 2018, 43(6): 11-16. doi: 10.13718/j.cnki.xsxb.2018.06.003

带变量核的分数次积分交换子在变指数Herz-Morrey空间上的有界性

赵欢,周疆

新疆大学数学与系统科学学院, 乌鲁木齐 830046

Boundedness for Commutators of Fractional Integral with Variable Kernel on Variable Exponent Herz-Morrey Spaces

ZHAO Huan, ZHOU Jiang

College of Mathematics and System Sciences, Xinjiang University, Urumqi 830046, China

摘要: 证明了带变量核的分数次积分算子TΩ，μ与Lipschitz函数b生成的高阶交换子[bm，TΩ，μ]在变指数Herz-Morrey空间MKq，p（·）α，λ（Rn）上的有界性.
- 变量核 /
- 分数次积分算子 /
- Lipschitz函数 /
- 交换子 /
- 变指数Herz-Morrey空间
Abstract: In this paper, it has been proved that the boundedness of the higher order commutators [bm, TΩ,μ] generated by the fractional integral operators TΩ,μ with variable kerneland Lipschitz functionon b in variable exponent Herz-Morrey spaces MKq,p(·)α,λ.
- variable kernel /
- fractional integral operator /
- Lipschitz function /
- commutator /
- variable exponent Herz-Morrey space .

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