一个核为零齐次的Hilbert级数型不等式及其逆

钟建华

钟建华. 一个核为零齐次的Hilbert级数型不等式及其逆[J]. 华南师范大学学报(自然科学版), 2011, (2).
引用本文: 钟建华. 一个核为零齐次的Hilbert级数型不等式及其逆[J]. 华南师范大学学报(自然科学版), 2011, (2).
A Hilbert -Type Series Inequality and the Reverses with the Homogeneous Kernels of Degree 0[J]. Journal of South China Normal University (Natural Science Edition), 2011, (2).
Citation: A Hilbert -Type Series Inequality and the Reverses with the Homogeneous Kernels of Degree 0[J]. Journal of South China Normal University (Natural Science Edition), 2011, (2).

一个核为零齐次的Hilbert级数型不等式及其逆

基金项目: 

广东省教育厅项目

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    通讯作者:

    钟建华

A Hilbert -Type Series Inequality and the Reverses with the Homogeneous Kernels of Degree 0

  • 摘要: 通过引入参数和应用权函数的方法,建立了一个具有最佳常数因子的核为零齐次的Hilbert级数型不等式及其等价形式,并得到它的逆式及等价式.
    Abstract: By introducing some parameters and using the way of weight functions, a new Hilbert-type series-inequality and its equivalent form are given with the homogeneous kernel of zero degree and a best constant factor.The reverses and the equivalent forms are also considered.
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出版历程
  • 收稿日期:  2010-01-17
  • 修回日期:  2010-04-21
  • 刊出日期:  2011-05-24

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