与Dirac算子有关的Hardy-like不等式的一个解析证明
An analytical proof of Hardy-like inequalities related to the Dirac operator
摘要：
用初等的直接方法证明了与Dirac算子有关的几个尖锐的Hardy型不等式.这些不等式中的一些已经获得了以前使用的频谱信息的Dirac库仑算子。我们的结果是在最佳条件下，渐近的潜力接近零和接近无穷大。
英文摘要：
We prove some sharp Hardy type inequalities related to the Dirac operator by elementary, direct methods. Some of these inequalities have been obtained previously using spectral information about the Dirac-Coulomb operator. Our results are stated under optimal conditions on the asymptotics of the potentials near zero and near infinity.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
