Uniformly locally univalent functions and Hardy spaces

Yong Chan Kim; Toshiyuki Sugawa

doi:10.1016/j.jmaa.2008.11.036

Uniformly locally univalent functions and Hardy spaces

Yong Chan Kim, Toshiyuki Sugawa

INF - Computer and Mathematical Sciences

Research output: Contribution to journal › Article › peer-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 language	English
Pages (from-to)	61-67
Number of pages	7
Journal	Journal of Mathematical Analysis and Applications
Volume	353
Issue number	1
DOIs	https://doi.org/10.1016/j.jmaa.2008.11.036
Publication status	Published - 2009 May 1

Keywords

Gap series
Hardy space
Pre-Schwarzian derivative

ASJC Scopus subject areas

Analysis
Applied Mathematics

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10.1016/j.jmaa.2008.11.036

Cite this

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title = "Uniformly locally univalent functions and Hardy spaces",

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.",

keywords = "Gap series, Hardy space, Pre-Schwarzian derivative",

author = "Kim, {Yong Chan} and Toshiyuki Sugawa",

note = "Funding Information: E-mail addresses: kimyc@ynu.ac.kr (Y.C. Kim), sugawa@math.is.tohoku.ac.jp (T. Sugawa). 1 The author was supported by the Korea Research Foundation Grant funded by Korean Government (MOEHRD, Basic Research Promotion Fund, KRF-2007-C00024). 2 The author was partially supported by the JSPS Grant-in-Aid for Scientific Research (B), 17340039.",

year = "2009",

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T1 - Uniformly locally univalent functions and Hardy spaces

AU - Kim, Yong Chan

AU - Sugawa, Toshiyuki

N1 - Funding Information: E-mail addresses: kimyc@ynu.ac.kr (Y.C. Kim), sugawa@math.is.tohoku.ac.jp (T. Sugawa). 1 The author was supported by the Korea Research Foundation Grant funded by Korean Government (MOEHRD, Basic Research Promotion Fund, KRF-2007-C00024). 2 The author was partially supported by the JSPS Grant-in-Aid for Scientific Research (B), 17340039.

PY - 2009/5/1

Y1 - 2009/5/1

N2 - 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.

AB - 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.

KW - Gap series

KW - Hardy space

KW - Pre-Schwarzian derivative

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M3 - Article

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JO - Journal of Mathematical Analysis and Applications

JF - Journal of Mathematical Analysis and Applications

SN - 0022-247X

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ER -

Uniformly locally univalent functions and Hardy spaces

Abstract

Keywords

ASJC Scopus subject areas

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