### Abstract

Holomorphic mean Lipschitz space is defined in the unit ball of ℂ^{n}. 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 |

Publication status | Published - 2007 Jul 1 |

### Fingerprint

### Keywords

- Lipschitz space
- Mean Lipschitz space

### ASJC Scopus subject areas

- Mathematics(all)

### Cite this

*Journal of the Korean Mathematical Society*,

*44*(4), 931-940.

**Holomorphic functions satisfying mean Lipschitz condition in the ball.** / Kwon, Ern Gun; Koo, Hyung Woon; Cho, Hong Rae.

Research output: Contribution to journal › Article

*Journal of the Korean Mathematical Society*, vol. 44, no. 4, pp. 931-940.

}

TY - JOUR

T1 - Holomorphic functions satisfying mean Lipschitz condition in the ball

AU - Kwon, Ern Gun

AU - Koo, Hyung Woon

AU - Cho, Hong Rae

PY - 2007/7/1

Y1 - 2007/7/1

N2 - 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.

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

UR - http://www.scopus.com/inward/record.url?scp=34547340298&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=34547340298&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:34547340298

VL - 44

SP - 931

EP - 940

JO - Journal of the Korean Mathematical Society

JF - Journal of the Korean Mathematical Society

SN - 0304-9914

IS - 4

ER -