论文标题
Banach Cocycles的Livšic定理：存在与规律性
Livšic theorems for Banach cocycles: existence and regularity
论文作者
论文摘要
我们证明了一个非均匀的双曲版本Livšic定理，Cocycles在Banach空间上的可逆界线线性算子组中采用值。该结果无需双曲度度量的真实性假设。此外，我们还证明了共同体方程的$μ$连续解决方案实际上对于均匀双曲线系统而言是连续的。
We prove a nonuniformly hyperbolic version Livšic theorem, with cocycles taking values in the group of invertible bounded linear operators on a Banach space. The result holds without the ergodicity assumption of the hyperbolic measure. Moreover, We also prove a $μ$-continuous solution of the cohomological equation is actually Hölder continuous for the uniform hyperbolic system.
