Article
MSC:
30H20,
30H30,
47B33,
47B37,
47B38 | MR 2886251 | Zbl 1245.47009 | DOI: 10.1007/s10587-011-0042-x
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Keywords:
Bergman-type space; Volterra composition operator; Bloch-type space; little Bloch-type space; essential norm
Bergman-type space; Volterra composition operator; Bloch-type space; little Bloch-type space; essential norm
Summary:
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 $.
References:
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