论文标题
Triebel-Lizorkin的规律性和Bi-Lipschitz地图：组成操作员和逆功能规律性
Triebel-Lizorkin regularity and bi-Lipschitz maps: composition operator and inverse function regularity
论文作者
论文摘要
我们研究了在Bi-Lipschitz变化的变化和Lipschitz域中Triebel-Lizorkin Bi-Lipschitz地图的逆函数的二线函数和Lipschitz函数的趋势的稳定性。为了获得结果，我们为Triebel-lizorkin空间提供了等效的规范，该空间在均匀域中的分数平滑度就均匀的域中平滑度提供了平均的一阶差异。
We study the stability of Triebel-Lizorkin regularity of bounded functions and Lipschitz functions under bi-Lipschitz changes of variables and the regularity of the inverse function of a Triebel-Lizorkin bi-Lipschitz map in Lipschitz domains. To obtain the results we provide an equivalent norm for the Triebel-Lizorkin spaces with fractional smoothness in uniform domains in terms of the first-order difference of the last weak derivative available averaged on balls.
