Abstract

In this paper, we extend some recent results by K. Hag and P. Hag regarding a generalized Nehari class. In particular, we give a description of this new class in terms of the hyperbolic metric, and characterize the unbounded functions in an analogue of a theorem of Gehring and Pommerenke. We also derive several sharp distortion theorems and estimates on the pre-Schwarzian that are used to study John disks. © 2006 WILEY-VCH Verlag GmbH & Co. KGaA.