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 journalArticlepeer-review

    1 Citation (Scopus)

    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.

    Original languageEnglish
    Pages (from-to)79-88
    Number of pages10
    JournalActa Mathematica Sinica, English Series
    Volume19
    Issue number1
    DOIs
    Publication statusPublished - Jan 2003

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