On radial behaviour and balanced Bloch functions
On radial behaviour and balanced Bloch functions
A Bloch function g is a function analytic in the unit disk such that (1–|z|^2)|g' (z)| is bounded. First we generalize the theorem of Rohde that, for every "bad" Bloch function, g(r \zeta) (r \longrightarrow 1) follows any prescribed curve at a bounded distance for \zeta in a set of …