| Title:
|
Isometric composition operators on weighted Dirichlet space (English) |
| Author:
|
Han, Shi-An |
| Author:
|
Zhou, Ze-Hua |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
66 |
| Issue:
|
1 |
| Year:
|
2016 |
| Pages:
|
27-34 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
We investigate isometric composition operators on the weighted Dirichlet space $\mathcal {D}_\alpha $ with standard weights $(1-|z|^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 $\mathcal {D}$. We solve some of these but not in general. We also investigate the situation when $\mathcal {D}_\alpha $ is equipped with another equivalent norm. (English) |
| Keyword:
|
composition operator |
| Keyword:
|
weighted Dirichlet space |
| Keyword:
|
isometry |
| MSC:
|
46B04 |
| MSC:
|
47B33 |
| MSC:
|
47B38 |
| idZBL:
|
Zbl 06587869 |
| idMR:
|
MR3483218 |
| DOI:
|
10.1007/s10587-016-0235-4 |
| . |
| Date available:
|
2016-04-07T14:48:58Z |
| Last updated:
|
2020-07-03 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/144890 |
| . |
| Reference:
|
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| Reference:
|
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| Reference:
|
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| Reference:
|
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| Reference:
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| Reference:
|
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| Reference:
|
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| . |
