On Mori's Theorem in Quasiconformal Theory

In this paper, it is proved that the Mori constant, the Hölder coefficient of the family QCK(B) of K-quasiconformal self-mappings of the unit disk B with the origin fixed, is at most 46^1-1/K. It is also shown that the Hölder coefficient of the restriction of a map f . QCK(B) to the disk |z| . sin 25.7° is at most 16^1-1/K