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Weakly Nehari functions, hyperbolic convexity and John disks

✍ Scribed by Martin Chuaqui; Pilar Herreros

Publisher
John Wiley and Sons
Year
2006
Tongue
English
Weight
119 KB
Volume
279
Category
Article
ISSN
0025-584X

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✦ Synopsis

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. (Β© 2006 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)

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