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Volterra Composition Operators from \(F(p,q,s)\) Spaces to Bloch-type Spaces
Weifeng Yang
Abstract.
Let \(H(B)\) denote the space of all holomorphic functions on the unit ball \(B\subset \mathbb{C}^n\). Let \(\varphi\) be a holomorphic self-map of \(B\) and \(g\in H(B)\). In this paper, we investigate the boundedness and compactness of the Volterra composition operator
\[(V^g_{\varphi} f)(z)=\int_0^1f(\varphi(tz))\Re g(tz)\frac{dt}t,\]
which map from general function space \(F(p,q,s)\) to Bloch-type space \(\mathcal{B}^\alpha\) in the unit ball.
2010 Mathematics Subject Classification: Primary: 47B35; Secondary: 30H05.
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