利用负曲空间的等距关系上圈上同调方程的边界解和内部解。Livsic案
Relating boundary and interior solutions of the cohomological equation for cocycles by isometries of negatively curved spaces. The Livsic case
摘要：
在Livsic背景下，考虑Gromov双曲度量空间的等距上圈约化问题.我们证明了如果边界上圈（作用在紧空间上）在一个合适的Hölder类中是可约的，那么原等距上圈（作用在无界空间上）也是可约的。
英文摘要：
We consider the reducibility problem of cocycles by isometries of Gromov hyperbolic metric spaces in the Livsic setting. We show that provided that the boundary cocycle (that acts on a compact space) is reducible in a suitable Hölder class, then the original cocycle by isometries (that acts on an unbounded space) is also reducible.
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