A NOTE ON HOLOMORPHIC QUADRATIC DIFFERENTIALS ON THE UNIT DISK

摘要

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.