Weighted Composition Operators from $F(p,q,s)$ to Bloch Type Spaces on the Unit Ball

Details Weighted Composition Operators from $F(p,q,s)$ to Bloch Type Spaces on the Unit Ball Weighted Composition Operators from $F(p,q,s)$ to Bloch Type Spaces on the Unit Ball

2005-03-26

arxiv.org/abs/math/0503614v9

Mathematics

Complex Variables

26 pages

Scientific paper

Let $\phi(z)=(\phi_1(z),...,\phi_n(z))$ be a holomorphic self-map of $B$ and $\psi(z)$ a holomorphic function on $B$, where $B$ is the unit ball of ${\Bbbb C}^n$. Let $0-1$ and $\alpha\geq 0,$ this paper gives some necessary and sufficient conditions for the weighted composition operator $\wco$ induced by $\phi$ and $\psi$ to be bounded and compact between the space $\Fs$ and $\alpha$-{\sl Bloch} space $\beta^\alpha.$

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