Hilbert transform and related topics associated with the differential Jacobi operator on (0, +∞)
Hilbert transform and related topics associated with the differential Jacobi operator on (0, +∞)
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希尔伯特变换以及与 (0, +∞) 上的微分雅可比算子相关的相关主题
DOI：
10.1007/s11117-010-0061-0
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发表时间：
2011
期刊：
影响因子：
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通讯作者：
Taha Samaali
中科院分区：
文献类型：
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作者：
N. Ben Salem;Taha Samaali
定义了（0，+∞）上Jacobi微分算子的Hilbert变换和共轭Poisson积分.我们证明了这些算子在适当的Lebesgue空间Lp，1 <p< +∞中是有界的.在本研究中，所使用的工具是Littlewood-Paleyg-函数与Poisson半群和补充Poisson半群，我们在本文中介绍。
We define Hilbert transform and conjugate Poisson integrals associated with the Jacobi differential operator on (0, +∞). We prove that these operators are bounded in the appropriate Lebesgue spacesLp, 1 <p< +∞. In this study, the tools used are the Littlewood–Paleyg-functions associated with the Poisson semigroup and the supplementary Poisson semigroup which we introduce in this paper.