Geodesic
On Volterra composition operators from Bergman-type space to Bloch-type space
Czechoslovak Mathematical Journal, Tome 61 (2011) no. 4, pp. 993-1005
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Let $\varphi $ be an analytic self-mapping of $\mathbb {D}$ and $g$ an analytic function on $\mathbb {D}$. In this paper we characterize the bounded and compact Volterra composition operators from the Bergman-type space to the Bloch-type space. We also obtain an asymptotical expression of the essential norm of these operators in terms of the symbols $g$ and $\varphi $.
Let $\varphi $ be an analytic self-mapping of $\mathbb {D}$ and $g$ an analytic function on $\mathbb {D}$. In this paper we characterize the bounded and compact Volterra composition operators from the Bergman-type space to the Bloch-type space. We also obtain an asymptotical expression of the essential norm of these operators in terms of the symbols $g$ and $\varphi $.
DOI : 10.1007/s10587-011-0042-x
Classification : 30H20, 30H30, 47B33, 47B37, 47B38
Keywords: Bergman-type space; Volterra composition operator; Bloch-type space; little Bloch-type space; essential norm 
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Jiang, Zhi Jie. On Volterra composition operators from Bergman-type space to Bloch-type space. Czechoslovak Mathematical Journal, Tome 61 (2011) no. 4, pp. 993-1005. doi: 10.1007/s10587-011-0042-x

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