论文标题
谐波功能的加权手段和球的表征
Weighted means of harmonic functions and characterization of balls
论文作者
论文摘要
对于谐波函数及其衍生物，考虑了对球的加权平均值身份。对数和其他权重参与这些功能的身份。提出了一些加权身份的应用。此外，还证明了球的新分析特征。他们每个人都需要在所考虑的域上的单个重量函数的体积平均值，以等于规定的数字，具体取决于重量。
Weighted mean value identities over balls are considered for harmonic functions and their derivatives. Logarithmic and other weights are involved in these identities for functions. Some applications of weighted identities are presented. Also, new analytic characterizations of balls are proved; each of them requires the volume mean of a single weight function over the domain under consideration to be equal to a prescribed number depending on the weight.
