AI 中文总结
该研究分别在欧氏空间与更一般的黎曼空间中，改进了p-格林函数及其导数在极点附近的相关估计与渐近展开结果，强化并提升了已有文献的对应结论。
AI 中文摘要
我们研究p-格林函数及其导数在极点附近的渐近展开。在欧氏空间中，我们通过建立一阶、二阶导数的改进可积性性质与估计，强化了arXiv:2203.01206中的定理；在更一般的黎曼空间中，我们推导了p-格林函数在极点附近的精细渐近展开，改进了arXiv:2512.14591中的对应结果。
英文摘要
We study the asymptotic expansion of p-Green functions and their derivatives near the pole. In the Euclidean setting, we strengthen a theorem from [arXiv:2203.01206] by establishing improved integrability properties and estimates for the first and second derivatives. In the more general Riemannian setting, we derive a refined asymptotic expansion of the p-Green function near its pole, thereby improving the corresponding result proved in [arXiv:2512.14591].
