New characterizations for weighted composition operator from Zygmund type spaces to Bloch type spaces

Title:

New characterizations for weighted composition operator from Zygmund type spaces to Bloch type spaces

Creator:

Guo, Xin-Cui and Zhou, Ze-Hua

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:f4f67e68-8f53-4c73-b45a-207c688fd21a
uuid:f4f67e68-8f53-4c73-b45a-207c688fd21a
issn:0011-4642

Subject:

matematika, mathematics, weighted composition operator, Zygmund type space, Bloch type space, essential norm, 13, and 51

Type:

model:article and TEXT

Format:

print, bez média, and svazek

Description:

Let u be a holomorphic function and φ a holomorphic self-map of the open unit disk D in the complex plane. We provide new characterizations for the boundedness of the weighted composition operators uCφ from Zygmund type spaces to Bloch type spaces in D in terms of u, φ, their derivatives, and φn, the n-th power of φ. Moreover, we obtain some similar estimates for the essential norms of the operators uCφ, from which sufficient and necessary conditions of compactness of uCφ follows immediately., Xin-Cui Guo, Ze-Hua Zhou., and Obsahuje seznam literatury

Language:

English

Rights:

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

Coverage:

331-346

Source:

Czechoslovak Mathematical Journal | 2015 Volume:65 | Number:2

Harvested from:

CDK

Metadata only:

false