A NOTE ON HOLOMORPHIC QUADRATIC DIFFERENTIALS ON THE UNIT DISK

作者：Yao, Guowu^*

来源：Kodai Mathematical Journal, 2016, 39(1): 72-79.

DOI：10.2996/kmj/1458651692

• Teichmuller space
• quasiconformal mapping
• quadratic differential
• boundary dilatation

Let Q(Delta) be the set of all integrable holomorphic quadratic differentials on the unit disk A. The subset Q(0)(Delta) of Q(Delta) is the set associated with T-0 classes in the universal Teichmuller space T(Delta). In this paper, it is shown that Q(0)(Delta) is dense in Q(Delta). The infinitesimal version is also obtained.

• 单位
  清华大学