Subordination Families and Extreme Points

Yusuf Abu-Muhanna, D. J. Hallenbeck
1988 Transactions of the American Mathematical Society  
Let s(F) denote the set of functions subordinate to a univalent function F in A the unit disk. Let Bo denote the set of functions (z) analytic in A satisfying \ is an extreme point of Bo and |0(e,!)| < 1 for almost all t, then J2" log X(F(<p(eil)eie), 8 D)dt = -oo for almost all 9.
doi:10.2307/2000950 fatcat:z5tib6lkzrhenek2k7ewmnllve