Abstract
We consider the class of uniformly locally univalent functions on the unit disk with prescribed pre-Schwarzian norm. In the present paper, we show that the class is contained in the Hardy space of a specific exponent depending on the norm.
Original language | English |
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Pages (from-to) | 61-67 |
Number of pages | 7 |
Journal | Journal of Mathematical Analysis and Applications |
Volume | 353 |
Issue number | 1 |
DOIs | |
Publication status | Published - 2009 May 1 |
Keywords
- Gap series
- Hardy space
- Pre-Schwarzian derivative
ASJC Scopus subject areas
- Analysis
- Applied Mathematics