Dirac算子的Hardy-Carleman型不等式
Hardy-Carleman Type Inequalities for Dirac Operators
摘要：
证明了Dirac算子的广义Hardy-Carleman型不等式。新的不等式推导出涉及特定的传统上使用的权函数。特别地，建立了Agmon不等式和Treve型不等式的一个版本.狄拉克粒子在（潜在的）磁场的情况下也被认为是。所使用的方法是直接的，并基于二次型技术。
英文摘要：
General Hardy-Carleman type inequalities for Dirac operators are proved. New inequalities are derived involving particular traditionally used weight functions. In particular, a version of the Agmon inequality and Treve type inequalities are established. The case of a Dirac particle in a (potential) magnetic field is also considered. The methods used are direct and based on quadratic form techniques.
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。
