Uniformly locally univalent functions and Hardy spaces

Yong Chan Kim, Toshiyuki Sugawa

Research output: Contribution to journalArticlepeer-review

3 Citations (Scopus)

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 languageEnglish
Pages (from-to)61-67
Number of pages7
JournalJournal of Mathematical Analysis and Applications
Volume353
Issue number1
DOIs
Publication statusPublished - 2009 May 1

Keywords

  • Gap series
  • Hardy space
  • Pre-Schwarzian derivative

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics

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