| 带可变核的分数次积分算子及其交换子的有界性 |
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| 引用本文： | 章迎春,赵凯,邵帅,王婷婷,杜宏彬.带可变核的分数次积分算子及其交换子的有界性[J].青岛大学学报(自然科学版),2011,24(2):5-9. |
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| 作者姓名： | 章迎春 赵凯 邵帅 王婷婷 杜宏彬 |
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| 作者单位： | 青岛大学数学科学学院,山东青岛,266071 |
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| 摘 要： | 利用Herz型Hardy空间的原子和分子分解理论，研究了带可变核的分数次积分算子，当核函数满足一定条件时，证明了这类算子在Herz型Hardy空间的有界性，以及与Lipschitz函数生成的交换子从Herz型Hardy空间到Herz空间的有界性。这些结果丰富了带可变核的分数次积分算子在Herz型Hardy空间的有界性结论。
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| 关 键 词： | 可变核 分数次积分 交换子 Hardy空间 Herz空间 |
Boundedness for Fractional Integral Operators with Variable Kernel and Its Commutators |
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| ZHANG Ying-chun,ZHAO Kai,SHAO Shuai,WANG Ting-ting,DU Hong-bin.Boundedness for Fractional Integral Operators with Variable Kernel and Its Commutators[J].Journal of Qingdao University(Natural Science Edition),2011,24(2):5-9. |
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| Authors: | ZHANG Ying-chun ZHAO Kai SHAO Shuai WANG Ting-ting DU Hong-bin |
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| Affiliation: | ZHANG Ying-chun,ZHAO Kai,SHAOShuai,WANG Ting-ting,DU Hong-bin(College of Mathematics,Qingdao University,Qingdao 266071,China) |
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| Abstract: | By using the atomic and the molecular decompositions of the Herz type Hardy Space,the fractional integrals with variable kernel are discussed.When some conditions are given about kernel function,the boundedness of such kind of operators in the Herz-type Hardy spaces is proved.and the boundedness of the commutators generated by the fractional integral with lipschitz function is proved as well.The results enrich condusions of the boundedness of fractional integral operators with variable kernel in the Herz ty... |
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| Keywords: | variable kernel fractional integrals commutator Hardy space Herz spaces |
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