TY - JOUR
T1 - Multipliers and Cyclic Vectors in Bloch Type Spaces
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 - http://www.scopus.com/inward/record.url?scp=1342290405&partnerID=8YFLogxK
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 -