不变调和函数梯度范数的一个估计
An Estimate of the Gradient Norm of the Invariant Harmonic Function
DOI: 10.12677/PM.2023.1310298, PDF,   
作者: 姚雨欣：天津职业技术师范大学理学院，天津
关键词: 不变Poisson核；M?bius变换；梯度范数；Invariant Poisson Nucleus； M?bius Transform； Gradient Norm
摘要: 本文讨论不变调和函数的梯度范数估计的最优系数C(x,l)。根据不变Poisson核及Möbius变换，计算出常数 C(x,l)的具体表达式。
Abstract: In this paper, we discuss the optimal coefficient C(x,l) for the estimation of the gradient norm of the invariant harmonic function. According to the invariant Poisson kernel and Möbius transforms, the specific expression of the constant C(x,l) is calculated.
文章引用：姚雨欣. 不变调和函数梯度范数的一个估计[J]. 理论数学, 2023, 13(10): 2916-2922. https://doi.org/10.12677/PM.2023.1310298

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