Radial Limits of Bloch Functions in the unit Disc
David C. Ullrich · Bulletin of the London Mathematical Society · 1986
Although a function in the Bloch space may have no radial limits, it is shown that there exist bounded linear functionals which give ‘average radial limits’ over an interval on the boundary. An ‘abelian–tauberian’ theorem is proved, characterizing the existence of a radial limit at a given boundary point in terms of these functionals.