Holomorphic mean Lipschitz functions on the unit ball of ℂn

Ern Gun Kwon; Hong Rae Cho; Hyungwoon Koo

doi:10.4134/JKMS.2013.50.1.189

Holomorphic mean Lipschitz functions on the unit ball of ℂⁿ

Ern Gun Kwon, Hong Rae Cho, Hyungwoon Koo

Department of Mathematics

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

1 Citation (Scopus)

Abstract

On the unit ball of ℂⁿ, the space of those holomorphic functions satisfying the mean Lipschitz condition is characterized by integral growth conditions of the tangential derivatives as well as the radial derivatives, where ω_p(t, f) denotes the L^p modulus of continuity defined in terms of the unitary transformations of ℂⁿ.

Original language	English
Pages (from-to)	189-202
Number of pages	14
Journal	Journal of the Korean Mathematical Society
Volume	50
Issue number	1
DOIs	https://doi.org/10.4134/JKMS.2013.50.1.189
Publication status	Published - 2013

Keywords

Besov space
Mean Lipschitz condition
Mean modulus of continuity

ASJC Scopus subject areas

Mathematics(all)

Access to Document

10.4134/JKMS.2013.50.1.189

Cite this

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title = "Holomorphic mean Lipschitz functions on the unit ball of ℂn",

abstract = "On the unit ball of ℂn, the space of those holomorphic functions satisfying the mean Lipschitz condition is characterized by integral growth conditions of the tangential derivatives as well as the radial derivatives, where ωp(t, f) denotes the Lp modulus of continuity defined in terms of the unitary transformations of ℂn.",

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AU - Kwon, Ern Gun

AU - Cho, Hong Rae

AU - Koo, Hyungwoon

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AB - On the unit ball of ℂn, the space of those holomorphic functions satisfying the mean Lipschitz condition is characterized by integral growth conditions of the tangential derivatives as well as the radial derivatives, where ωp(t, f) denotes the Lp modulus of continuity defined in terms of the unitary transformations of ℂn.

KW - Besov space

KW - Mean Lipschitz condition

KW - Mean modulus of continuity

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M3 - Article

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