Characterisations of Bloch functions in the unit ball of ℂ n, I

Zengjian Lou; Hasi Wulan

doi:10.1017/s000497270003759x

Characterisations of Bloch functions in the unit ball of ℂ ⁿ, I

Zengjian Lou^*
, Hasi Wulan

^*Corresponding author for this work

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

6 Citations (Scopus)

Abstract

Weighted Hadamard product characterisations of Bloch functions in the unit ball of ℂⁿ are studied. In particular, we prove that f belongs to the Bloch space B(B_n) if and only if the non-weighted Hadamard products of f and g belong to BMOA(Uⁿ) for all f in G ₀¹(B_n), a subspace of the Hardy space H ¹(B_n).

Original language	English
Pages (from-to)	205-212
Number of pages	8
Journal	Bulletin of the Australian Mathematical Society
Volume	68
Issue number	2
DOIs	https://doi.org/10.1017/s000497270003759x
Publication status	Published - Oct 2003

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title = "Characterisations of Bloch functions in the unit ball of ℂ n, I",

abstract = "Weighted Hadamard product characterisations of Bloch functions in the unit ball of ℂn are studied. In particular, we prove that f belongs to the Bloch space B(Bn) if and only if the non-weighted Hadamard products of f and g belong to BMOA(Un) for all f in G 01(Bn), a subspace of the Hardy space H 1(Bn).",

author = "Zengjian Lou and Hasi Wulan",

year = "2003",

month = oct,

doi = "10.1017/s000497270003759x",

language = "English",

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pages = "205--212",

journal = "Bulletin of the Australian Mathematical Society",

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AU - Lou, Zengjian

AU - Wulan, Hasi

PY - 2003/10

Y1 - 2003/10

N2 - Weighted Hadamard product characterisations of Bloch functions in the unit ball of ℂn are studied. In particular, we prove that f belongs to the Bloch space B(Bn) if and only if the non-weighted Hadamard products of f and g belong to BMOA(Un) for all f in G 01(Bn), a subspace of the Hardy space H 1(Bn).

AB - Weighted Hadamard product characterisations of Bloch functions in the unit ball of ℂn are studied. In particular, we prove that f belongs to the Bloch space B(Bn) if and only if the non-weighted Hadamard products of f and g belong to BMOA(Un) for all f in G 01(Bn), a subspace of the Hardy space H 1(Bn).

UR - https://www.scopus.com/pages/publications/0344118063

U2 - 10.1017/s000497270003759x

DO - 10.1017/s000497270003759x

M3 - Article

SN - 0004-9727

VL - 68

SP - 205

EP - 212

JO - Bulletin of the Australian Mathematical Society

JF - Bulletin of the Australian Mathematical Society

IS - 2

ER -

Characterisations of Bloch functions in the unit ball of ℂ ⁿ, I

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