| 洪勇.一类具有准齐次核的Hilbert型奇异重积分算子的范数及应用[J].数学年刊A辑,2014,35(1):21~30 |
| 一类具有准齐次核的Hilbert型奇异重积分算子的范数及应用 |
| On the Norm of Hilbert-type Singular Multiple Integral Operator with Quasi-homogeneousKernel and Its Application |
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| DOI： |
| 中文关键词: 准齐次核, Hilbert型奇异重积分算子, 范数, Hilbert型不等式 |
| 英文关键词:Quasi-homogeneous kernel, Hilbert-type singular multiple integral operator, Norm, Hilbert-type inequality |
| 基金项目:广东省自然科学基金(No.S2012010010376)和广州市科技计划项目(No.2010GN-C021) |
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| 中文摘要: |
| 引入准齐次函数的概念, 研究了具有准齐次核的一类Hilbert型奇异重积分算子的范数问题, 并讨论其应用. |
| 英文摘要: |
| A concept of quasi-homogeneous function is defined, the norm of a Hilbert-type singular
mulitple integral operator with quasi-homogeneous kernel is studied, and its applications are discussed. |
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