| 离散分数次积分的加权有界性 |
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| 引用本文： | 付星.离散分数次积分的加权有界性[J].中国科学:数学,2021(2):333-342. |
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| 作者姓名： | 付星 |
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| 作者单位： | 湖北大学数学与统计学学院 |
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| 基金项目： | 国家自然科学基金(批准号:11701160和11871100)资助项目。 |
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| 摘 要： | 本文通过引入Z上的逆HSlder类RHr(Z)(r∈(1,∞))并建立它与Z上的Muckenhoupt权空间Aq(Z)(q∈1,∞))之间的关系,再借助伪差分算子(包含离散Fourier乘子)的有界性与它的积分核的估计之间的关系,获得离散分数次积分在加权离散(弱型)Lebesgue空间?PW()和?pW,∞(Z)(p...
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| 关 键 词： | 离散分数次积分 加权离散(弱型)Lebesgue空间 Z上的Muckenhoupt权空间 Z上的逆H(o)lder类 |
Weighted boundedness of discrete fractional integrals |
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| Xing Fu.Weighted boundedness of discrete fractional integrals[J].Scientia Sinica Mathemation,2021(2):333-342. |
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| Authors: | Xing Fu |
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| Abstract: | In this paper,via introducing the reverse Holder class on Z,RHr(Z)(r∈(1,∞)),and establishing its relation with the space of Muckenhoupt weights on Z,Aq(Z)(q ∈ 1,∞)), and with the help of the relation between the boundedness of pseudo-difference operators(including the discrete Fourier multiplier) and the estimates of their kernels,we obtain the boundedness of the discrete fractional integral(fractional integral on Z) on discrete(weak-type) Lebesgue spaces lwp and lwp,∞(p∈ 1,∞)). |
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| Keywords: | discrete fractional integral weighted discrete(weak-type)Lebesgue space the space of Muckenhoupt weights on Z the reverse Holder class on Z |
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