论文标题
具有规定边界固定点的半群的无限发电机
Infinitesimal generators of semigroups with prescribed boundary fixed points
论文作者
论文摘要
我们研究了单位磁盘$ \ mathbb d $中规则固定点的单个参数半群的无限发电机。使用与克雷因·米尔曼理论（Krein-Milman理论）结合使用此类无限发电机的明确表示，我们获得了新的尖锐不平等，将固定点的频谱值与具有动态含义的其他重要数量的频谱值相关。
We study infinitesimal generators of one-parameter semigroups in the unit disk $\mathbb D$ having prescribed boundary regular fixed points. Using an explicit representation of such infinitesimal generators in combination with Krein-Milman Theory we obtain new sharp inequalities relating spectral values at the fixed points with other important quantities having dynamical meaning.vWe also give a new proof of the classical Cowen-Pommerenke inequalities for univalent self-maps of $\mathbb D$.
