| Title:
|
On the $\Cal L$-characteristic of fractional powers of linear operators (English) |
| Author:
|
Appell, Jürgen |
| Author:
|
Simões, Marilda A. |
| Author:
|
Zabrejko, Petr P. |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
35 |
| Issue:
|
1 |
| Year:
|
1994 |
| Pages:
|
21-34 |
| . |
| Category:
|
math |
| . |
| Summary:
|
We describe the geometric structure of the ${\Cal L}$-characteristic of fractional powers of bounded or compact linear operators over domains with arbitrary measure. The description builds essentially on the Riesz-Thorin and Marcinkiewicz-Stein-Weiss-\linebreak Ovchinnikov interpolation theorems, as well as on the Krasnosel'skij-Krejn factorization theorem. (English) |
| Keyword:
|
fractional powers of operators |
| Keyword:
|
$L$-characteristic |
| Keyword:
|
Lebesgue spaces |
| Keyword:
|
interpolation theorems |
| MSC:
|
46E30 |
| MSC:
|
46M35 |
| MSC:
|
47A57 |
| MSC:
|
47A60 |
| MSC:
|
47A99 |
| MSC:
|
47B37 |
| MSC:
|
47B38 |
| idZBL:
|
Zbl 0806.47014 |
| idMR:
|
MR1292579 |
| . |
| Date available:
|
2009-01-08T18:08:21Z |
| Last updated:
|
2012-04-30 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/118637 |
| . |
| 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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| 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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| . |
