| 一类新广义的Hilbert型奇异积分算子的范数及其应用 |
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| 引用本文： | 唐慧羽,陈广生,覃茂华,陈祥云.一类新广义的Hilbert型奇异积分算子的范数及其应用[J].重庆文理学院学报,2013,32(3):6-9. |
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| 作者姓名： | 唐慧羽 陈广生 覃茂华 陈祥云 |
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| 作者单位： | 广西现代职业技术学院计算机工程系,广西河池,547000 |
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| 摘 要： | 文章在区间(a,∞)上,定义一个带参数的核为1/(x+y)λ的Hilbert型奇异积分算子T,研究它的有界性问题并求出其范数；作为应用,还考虑其涉及内积的等价形式.
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| 关 键 词： | Hilbert型奇异积分算子 Hilbert型不等式 算子范数 内积 H(o)lder不等式 |
On the norm of a new and genegral Hilbert' s type singular integral operator and its application |
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| TANG Huiyu,CHEN Guangsheng,QIN Maohua and CHEN Xiangyun.On the norm of a new and genegral Hilbert' s type singular integral operator and its application[J].Journal of Chongqing University of Arts and Sciences,2013,32(3):6-9. |
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| Authors: | TANG Huiyu CHEN Guangsheng QIN Maohua and CHEN Xiangyun |
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| Institution: | Department of Computer Engineering, Guangxi Modern Vocational Technology College, Hechi Guangxi 547000, China;Department of Computer Engineering, Guangxi Modern Vocational Technology College, Hechi Guangxi 547000, China;Department of Computer Engineering, Guangxi Modern Vocational Technology College, Hechi Guangxi 547000, China;Department of Computer Engineering, Guangxi Modern Vocational Technology College, Hechi Guangxi 547000, China |
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