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Distortion on properties of $$K$$-q.c. maps and a better estimate for Mori’s constant. (Chinese) Zbl 0778.30021
This paper gives: (i) a new distortion theorem of the argument for the $$K$$-q.c. maps; (ii) a Hölder continuous theorem of a class of $$K$$-q.c. maps $$K=(f$$: $$f$$ maps $$K$$-q.c. the unit disc into itself with fixed origin point). Using this theorem the author obtains an improvement of Mori’s constant; (iii) some new distortion theorems for $$K$$-q.c. maps.
Reviewer: Hu Ke (Nanchang)

##### MSC:
 30C62 Quasiconformal mappings in the complex plane
##### Keywords:
Mori constant; distortion theorem