Holomorphic functions satisfying mean Lipschitz condition in the ball

Ern Gun Kwon; Hyung Woon Koo; Hong Rae Cho

doi:10.4134/JKMS.2007.44.4.931

Holomorphic functions satisfying mean Lipschitz condition in the ball

Ern Gun Kwon, Hyung Woon Koo, Hong Rae Cho

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

2 Citations (Scopus)

Abstract

Holomorphic mean Lipschitz space is defined in the unit ball of ℂⁿ. The membership of the space is expressed in terms of the growth of radial derivatives, which reduced to a classical result of Hardy and Littlewood when n = 1. The membership is also expressed in terms of the growth of tangential derivatives when n ≥ 2.

Original language	English
Pages (from-to)	931-940
Number of pages	10
Journal	Journal of the Korean Mathematical Society
Volume	44
Issue number	4
DOIs	https://doi.org/10.4134/JKMS.2007.44.4.931
Publication status	Published - 2007 Jul

Keywords

Lipschitz space
Mean Lipschitz space

ASJC Scopus subject areas

Mathematics(all)

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10.4134/JKMS.2007.44.4.931

Cite this

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title = "Holomorphic functions satisfying mean Lipschitz condition in the ball",

abstract = "Holomorphic mean Lipschitz space is defined in the unit ball of ℂn. The membership of the space is expressed in terms of the growth of radial derivatives, which reduced to a classical result of Hardy and Littlewood when n = 1. The membership is also expressed in terms of the growth of tangential derivatives when n ≥ 2.",

keywords = "Lipschitz space, Mean Lipschitz space",

author = "Kwon, {Ern Gun} and Koo, {Hyung Woon} and Cho, {Hong Rae}",

year = "2007",

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AU - Kwon, Ern Gun

AU - Koo, Hyung Woon

AU - Cho, Hong Rae

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AB - Holomorphic mean Lipschitz space is defined in the unit ball of ℂn. The membership of the space is expressed in terms of the growth of radial derivatives, which reduced to a classical result of Hardy and Littlewood when n = 1. The membership is also expressed in terms of the growth of tangential derivatives when n ≥ 2.

KW - Lipschitz space

KW - Mean Lipschitz space

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DO - 10.4134/JKMS.2007.44.4.931

M3 - Article

AN - SCOPUS:34547340298

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SP - 931

EP - 940

JO - Journal of the Korean Mathematical Society

JF - Journal of the Korean Mathematical Society

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ER -

Holomorphic functions satisfying mean Lipschitz condition in the ball

Abstract

Keywords

ASJC Scopus subject areas

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