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| 摘要: |
| 本文研究了无界集上带粗糙核的分数次积分算子及其交换子在消失广义变指标Morrey的空间有界性.利用变指标函数的性质和算子TΩ，α及其交换子[b，TΩ，α]在变指标Lebesgue空间的逐点估计，获得了无界集上带粗糙核的分数次积分算子TΩ，α及其交换子[b，TΩ，α]在消失广义变指标Morrey空间的有界性，推广了已有的结果. |
| 关键词: 带粗糙核的分数次积分算子 交换子 BMO函数空间 消失广义变指标Morrey空间 |
| DOI： |
| 分类号:O174.2 |
| 基金项目:Supported by National Natural Science Foundation of China (11601035). |
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| BOUNDEDNESS OF THE FRACTIONAL INTEGRAL OPERATOR WITH ROUGH KERNEL AND ITS COMMUTATOR IN VANISHING GENERALIZED VARIABLE EXPONENT MORREY SPACES ON UNBOUNDED SETS |
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MO Hui-xia,WANG Xiao-juan,HAN Zhe
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| Abstract: |
| In this paper, we study the boundedness of fractional integral operators and their commutators in vanishing generalized Morrey spaces with variable exponent on unbounded sets. Using the properties of variable exponent functions and the pointwise estimates of operators TΩ,α and their commutators[b, TΩ,α] in Lebesgue spaces with variable exponent, we obtain the boundedness of fractional integral operators TΩ,α and their commutators[b, TΩ,α] in vanishing generalized Morrey spaces with variable exponents on unbounded sets, which extend the previous results. |
| Key words: fractional integral operator with rough kernel commutator BMO function space vanishing generalized Morrey space with variable exponents |
