Isometric composition operators on weighted Dirichlet space

Title:

Isometric composition operators on weighted Dirichlet space

Creator:

Han, Shi-An and Zhou, Ze-Hua

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:771c8c9f-e3c2-4dbf-8253-1f863b5cfacc
uuid:771c8c9f-e3c2-4dbf-8253-1f863b5cfacc
issn:0011-4642

Subject:

matematika, Dirichletova úloha, mathematics, Dirichlet problem, composition operator, weighted Dirichlet space, isometry, 13, and 51

Type:

model:article and TEXT

Format:

print, bez média, and svazek

Description:

We investigate isometric composition operators on the weighted Dirichlet space {D_\alpha } with standard weights {(1 - {\left| z \right|^2})^\alpha },\alpha > - 1 . The main technique used comes from Martín and Vukotić who completely characterized the isometric composition operators on the classical Dirichlet space D. We solve some of these but not in general. We also investigate the situation when {D_\alpha } is equipped with another equivalent norm., Shi-An Han, Ze-Hua Zhou., and Obsahuje seznam literatury

Language:

English

Rights:

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

Coverage:

27-34

Source:

Czechoslovak Mathematical Journal | 2016 Volume:66 | Number:1

Harvested from:

CDK

Metadata only:

false