In terms of pre-Schwarzian and Schwarzian derivatives, we obtain some sufficient conditions to ensure that a sense-preserving locally univalent harmonic mapping f in the unit disk can be extended to a quasiconformal mapping in the complex plane so that its complex dilatation satisfies some Carleson measure conditions.

中文翻译：

---

调和映射的强拟共形扩展

就前斯瓦兹和施瓦兹导数而言，我们获得了一些充分的条件，以确保单位圆盘中保留感知的局部单价谐波映射f可以扩展为复平面上的准保形映射，以便其复扩张满足某些Carleson测量条件。