Weighted composition operators between μ-Bloch type spaces on the polydisc of Cn.

Authors :: Xiaomin Tang
Zhangjian Hu
Source :: Journal of Computational Analysis & Applications. Feb2010, Vol. 12 Issue 1B, p207-221. 15p.
Publication Year :: 2010
Abstract: In this paper, we study the weighted composition operators Tψ,φƒ = ψƒ o φ between μ-B1och type spaces on the polydisc of Cn. For normal functions μ and ω on [0, 1), we characterize the boundedness and the compactness of Tψ,φ : Bμ(Dn) → Bω (Dn) (respectively, Bμ,0(Dn) → Bω,0(Dn)). [ABSTRACT FROM AUTHOR]

Subjects :: *COMPOSITION operators
*FUNCTIONAL analysis
*BLOCH constant
*FUNCTIONS of bounded variation
*COMPACT spaces (Topology)
*MATHEMATICAL analysis

Tools