Yong Chan KIM and Toshiyuki SUGAWA
Growth and coefficient estimates for
uniformly locally univalent functions on the unit disk
Abstract
In this note, we shall give a sharp growth estimate for a uniformly locally
univalent
holomorphic function on the unit disk. As applications, we shall investigate
the growth of coefficients of such a function and mention the
connection with Hardy spaces.
We also give norm estimates for typical classes of univalent functions.
submission: April 17, 1998
revision: August 7, 1998
revision: April 15, 1999
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