| 摘要: |
| 本文研究了由分数次积分Il与加权Lipschitz函数b生成的交换子[b,Il]在加权Herz型Hardy空间上的估计.利用加权Herz型Hardy空间的分解理论,得到了交换子[b,Il]从加权Herz型Hardy空间到(弱)加权Herz空间上的有界性质. |
| 关键词: 分数次积分 交换子 加权Lipschitz函数 Herz空间 Herz型Hardy空间 |
| DOI： |
| 分类号:O174.2 |
| 基金项目:国家自然科学基金资助(11071057). |
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| THE BOUNDEDNESS OF COMMUTATOR OF FRACTIONAL INTEGRALS ON WEIGHTED HERZ-TYPE HADRY SPACES |
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HU Yue1, WANG Yue-shan2, WANG Yan-hui1
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1.College of Mathematics and Informatics, Henan Polytechnic University, Jiaozuo 454010, China;2.Department of Basic Science, Jiaozuo University, Jiaozuo 454003, China
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| Abstract: |
| Let[b,Il] denote the commutator generated by fractional integral Il and weighted Lipschitz function b. By the theory of atomic decomposition of weighed Herz-type Hardy spaces, we investigate the boundedness of commutator[b,Iα] from weighted Herz-type Hardy spaces to (weak) weighted Herz-type spaces. |
| Key words: fractional integral commutator weighted Lipschitz space Herz space Herz-type Hardy space |
