Let be the Schwarzian derivative of a univalent harmonic function in the unit disk , compatible with a finitely generated Fuchsian group of the second kind. We show that if satisfies the Carleson condition on the infinite boundary of the Dirichlet fundamental domain of , then is a Carleson measure in .

中文翻译：

---

与第二类有限生成的Fuchsian群相关的调和Schwarzian导数的Carleson测度

让是单叶调和函数的Schwarz导数在单位圆盘，具有有限生成Fuchs群相容的第二种。我们发现，如果满足狄氏基本域的无限边界上的卡尔松条件的，则是在Carleson测度。