Multipliers and Cyclic Vectors in Bloch Type Spaces

Zeng Jian Lou; Ji Dong Guo; Dao Jin Song

doi:10.1007/s10114-002-0208-4

Multipliers and Cyclic Vectors in Bloch Type Spaces

Zeng Jian Lou^*
, Ji Dong Guo
, Dao Jin Song

^*Corresponding author for this work

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

2 Citations (Scopus)

Abstract

In this paper we study the coefficient multipliers, pointwise multipliers and cyclic vectors in the Bloch type spaces B^α and little Bloch type spaces B₀^α for 0 < α < ∞. We give several full characterizations of the coefficient multipliers (B^α, B^β) and (B₀ ^α,B₀^β) for 0 < α, β < ∞ and pointwise multipliers M(B^α, B³) and M(B₀^α,B₀^β) for 1 ≠ α, β ∈ (0, ∞), We also obtain some properties of cyclic vectors for Bloch type spaces.

Original language	English
Pages (from-to)	79-88
Number of pages	10
Journal	Acta Mathematica Sinica, English Series
Volume	19
Issue number	1
DOIs	https://doi.org/10.1007/s10114-002-0208-4
Publication status	Published - Jan 2003

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abstract = "In this paper we study the coefficient multipliers, pointwise multipliers and cyclic vectors in the Bloch type spaces Bα and little Bloch type spaces B0α for 0 < α < ∞. We give several full characterizations of the coefficient multipliers (Bα, Bβ) and (B0 α,B0β) for 0 < α, β < ∞ and pointwise multipliers M(Bα, B3) and M(B0α,B0β) for 1 ≠ α, β ∈ (0, ∞), We also obtain some properties of cyclic vectors for Bloch type spaces.",

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AU - Lou, Zeng Jian

AU - Guo, Ji Dong

AU - Song, Dao Jin

PY - 2003/1

Y1 - 2003/1

N2 - In this paper we study the coefficient multipliers, pointwise multipliers and cyclic vectors in the Bloch type spaces Bα and little Bloch type spaces B0α for 0 < α < ∞. We give several full characterizations of the coefficient multipliers (Bα, Bβ) and (B0 α,B0β) for 0 < α, β < ∞ and pointwise multipliers M(Bα, B3) and M(B0α,B0β) for 1 ≠ α, β ∈ (0, ∞), We also obtain some properties of cyclic vectors for Bloch type spaces.

AB - In this paper we study the coefficient multipliers, pointwise multipliers and cyclic vectors in the Bloch type spaces Bα and little Bloch type spaces B0α for 0 < α < ∞. We give several full characterizations of the coefficient multipliers (Bα, Bβ) and (B0 α,B0β) for 0 < α, β < ∞ and pointwise multipliers M(Bα, B3) and M(B0α,B0β) for 1 ≠ α, β ∈ (0, ∞), We also obtain some properties of cyclic vectors for Bloch type spaces.

KW - Bloch type spaces

KW - Coefficient multipliers

KW - Cyclic vectors

KW - Pointwise multipliers

UR - https://www.scopus.com/pages/publications/1342290405

U2 - 10.1007/s10114-002-0208-4

DO - 10.1007/s10114-002-0208-4

M3 - Article

SN - 1439-8516

VL - 19

SP - 79

EP - 88

JO - Acta Mathematica Sinica, English Series

JF - Acta Mathematica Sinica, English Series

IS - 1

ER -

Multipliers and Cyclic Vectors in Bloch Type Spaces

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