Yong Chan KIM and Toshiyuki SUGAWA

Growth and coefficient estimates for uniformly locally univalent functions on the unit disk


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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