The deBranges theorem and uniqueness statements

Journal d'Analyse Mathematique - Tập 60 - Trang 13-15 - 1993
Dov Aharonov1,2
1Department of Mathematical Sciences, University of Delaware, Newark, USA
2Department of Mathematics, Technion Israel Institute of Technology, Haifa, Israel

Tóm tắt

Recently deBranges gave a very remarkable proof of Milin’s conjecture. This implies both the conjectures of Robertson and Bieberbach. It is our aim to show that the statement of equality case in both Robertson’s and Bierbach’s conjectures may be proved by a different and easier method.

Tài liệu tham khảo

L. deBranges,A proof of the Bieberbach conjecture, Acta Math.154 (1985), 137–152. I. M. Milin,Univalent Functions and Orthonormal Systems (Russian), Moscow, 1971 (English translation 1977).