Radial variation of Bloch functions
Peter W. Jones, Paul F. X. Müller · Mathematical Research Letters · 1997
The result In 1971 J. M. Anderson [A] conjectured that for any conformal map ϕ in the unit disc there exists β, 0 ≤ β ≤ 2π such that 1 0 |ϕ (re iβ )|dr 0 is independent of r < 1.The proof of Theorem 1 is given in section 3 where we also discuss how Anderson's conjecture follows.