论文标题
完整的Sobolev类型不平等现象
Complete Sobolev Type Inequalities
论文作者
论文摘要
我们通过在量子状态的空间（例如矩阵值贝克纳的不等式）中概括单调指标来在非交通设置中建立Sobolev型不平等。我们还讨论了诸如随机换位和Bernoulli-Laplace模型之类的示例。
We establish Sobolev type inequalities in the noncommutative settings by generalizing monotone metrics in the space of quantum states, such as matrix-valued Beckner inequalities. We also discuss examples such as random transpositions and Bernoulli-Laplace models.
