论文标题
最大$ l^1 $ - 用于Banach空间中有限分析的发电机的发电机
Maximal $L^1$-regularity of generators for bounded analytic semigroups in Banach spaces
论文作者
论文摘要
在本文中，我们证明了$（θ，1）$的任何有限分析半群的生成器 - 类型的实际插值和基础Banach空间具有最大的$ l^1 $ regularity，并使用双重性参数结合了最大持续规则的结果。 作为一个应用程序，我们考虑了dirichlet-laplacian的最大$ l^1 $ - dirichlet-laplacian和stokes operator in nohosous $ b^s_ {q，1} $ - 键入$ \ mathbb r^n $，$ n \ geq 2 $的域上的besov besov空间。
In this paper, we prove that the generator of any bounded analytic semigroup in $(θ,1)$-type real interpolation of its domain and underlying Banach space has maximal $L^1$-regularity, using a duality argument combined with the result of maximal continuous regularity. As an application, we consider maximal $L^1$-regularity of the Dirichlet-Laplacian and the Stokes operator in inhomogeneous $B^s_{q,1}$-type Besov spaces on domains of $\mathbb R^n$, $n\geq 2$.
