闭形式的能量积分与不对称共势
Energy integrals and asymmetric co-potentials for closed forms
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中文总结 AI 辅助
研究非对称闭形式下有限能量积分测度类及势与共势的行为，通过三个视角与对称情形对比，揭示非对称情形需要更精细分析。
中文摘要 AI 辅助
我们研究了有限能量积分测度类以及与非对称闭形式相关的势和共势的行为。特别地，我们从三个视角将这些对象与其对称对应物进行比较：Stollmann-Voigt不等式的非对称版本、对称形式的非对称扰动，以及与非对称跳跃型形式相关的闭形式。我们的结果表明，在非对称设定下，有限能量积分测度、势和共势的行为不同，需要比对称情形更精细的分析。
英文摘要
We investigate the class of measures of finite energy integrals and the behavior of potentials and co-potentials associated with non-symmetric closed forms. In particular, we compare these objects with their symmetric counterparts from three viewpoints: a non-symmetric version of Stollmann--Voigt's inequality, non-symmetric perturbations of symmetric forms, and closed forms associated with non-symmetric jump-type forms. Our results indicate that measures of finite energy integrals, potentials, and co-potentials behave differently in the non-symmetric setting, requiring more delicate analysis than in the symmetric case.
