On Volterra composition operators from Bergman-type space to Bloch-type space

Title:

On Volterra composition operators from Bergman-type space to Bloch-type space

Creator:

Jiang, Zhi Jie

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:50d1052b-7ea5-4925-903c-84efe319a043
uuid:50d1052b-7ea5-4925-903c-84efe319a043

Subject:

Bergman-type space, Volterra composition operator, Bloch-type space, little Bloch-type space, and essential norm

Type:

model:article and TEXT

Format:

bez média and svazek

Description:

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 $.

Language:

English

Rights:

http://creativecommons.org/publicdomain/mark/1.0/
policy:public

Coverage:

993-1005

Source:

Czechoslovak Mathematical Journal | 2011 Volume:61 | Number:4

Harvested from:

CDK

Metadata only:

false