REPRESENTATION WITH MAJORANT OF THE SCHWARZ LEMMA AT THE BOUNDARY
Özet
Let f be a holomorphic function in the unit disc and |f(z)-1| < 1 for |z| < 1. We generalize the uniqueness portion of Schwarz's lemma and provide sufficient conditions on the local behavior of f near a finite set of boundary points that needed for f to be a finite Blaschke product.
