| Title:
|
Essential norm of the difference of composition operators on Bloch space (English) |
| Author:
|
Yang, Ke-Ben |
| Author:
|
Zhou, Ze-Hua |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
60 |
| Issue:
|
4 |
| Year:
|
2010 |
| Pages:
|
1139-1152 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
Let $\varphi $ and $\psi $ be holomorphic self-maps of the unit disk, and denote by $C_\varphi $, $C_\psi $ the induced composition operators. This paper gives some simple estimates of the essential norm for the difference of composition operators $C_\varphi -C_\psi $ from Bloch spaces to Bloch spaces in the unit disk. Compactness of the difference is also characterized. (English) |
| Keyword:
|
{\it Bloch} space |
| Keyword:
|
composition operator |
| Keyword:
|
essential norm |
| Keyword:
|
difference |
| Keyword:
|
compactness |
| MSC:
|
32A10 |
| MSC:
|
32A37 |
| MSC:
|
32H05 |
| MSC:
|
47B33 |
| MSC:
|
47B38 |
| idZBL:
|
Zbl 1220.47045 |
| idMR:
|
MR2738975 |
| . |
| Date available:
|
2010-11-20T14:03:18Z |
| Last updated:
|
2020-07-03 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/140812 |
| . |
| Reference:
|
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