| 联系离散Laplacian的半群上的振动算子 |
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| 引用本文： | 肖娅丽,李 平. 联系离散Laplacian的半群上的振动算子[J]. 华中师范大学学报(自然科学版), 2022, 56(6): 922-927 |
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| 作者姓名： | 肖娅丽 李 平 |
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| 作者单位： | 长江大学信息与数学学院,湖北荆州434023 |
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| 摘 要： | 该文研究了联系离散Laplacian Δd的热半群上的振动算子O(Wt). 利用离散的半群方法和离散的向量值Calderón-Zygmund理论，证明了振动算子O(Wt)在1〈p〈∞时从p()到p()是有界的， 而且从1()到弱－1() 也是有界的.
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| 关 键 词： | 离散Laplacian 离散的热半群 振动算子 Bessel函数 |
| 收稿时间： | 2022-12-12 |
The oscillation of the semigroups associated with discrete Laplacian |
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| XIAO Yali,LI Ping. The oscillation of the semigroups associated with discrete Laplacian[J]. Journal of Central China Normal University(Natural Sciences), 2022, 56(6): 922-927 |
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| Authors: | XIAO Yali LI Ping |
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| Affiliation: | (School of Information and Mathematics， Yangtze University， Jingzhou 434023， Hubei， China) |
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| Abstract: | Let O(Wt) be the oscillation operator of heat semigroup associated with discrete LaplacianΔd. By using discrete semigroup theory and discrete vector-valued Calderón-Zygmund theorem， it is proved that the oscillation operator O(Wt) is bounded from p() into itself for 1〈p〈∞， bounded from 1() into weak -1(). |
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| Keywords: | discrete Laplacian discrete heat semigroup oscillation operators Bessel functions |
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