SOME COVERING PROPERTIES OF CONVEX DOMAINS IN THE THEORY OF CONFORMAL MAPPING

<正> 1.Let G be a convex domain in the w-plane.If for a bound-ary point w of G,there exists a circumference which contains Gin its interior and passes through w,then we say that this circleis a supporting circle of G at w.Suppose that for every boundarypoint of G there is a supporting circle with radius ρ(ρ>0) and that