| Title:
|
An example of a reflexive Lorentz Gamma space with trivial Boyd and Zippin indices (English) |
| Author:
|
Karlovich, Alexei |
| Author:
|
Shargorodsky, Eugene |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
71 |
| Issue:
|
4 |
| Year:
|
2021 |
| Pages:
|
1199-1209 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
We show that for every $p\in (1,\infty )$ there exists a weight $w$ such that the Lorentz Gamma space $\Gamma _{p,w}$ is reflexive, its lower Boyd and Zippin indices are equal to zero and its upper Boyd and Zippin indices are equal to one. As a consequence, the Hardy-Littlewood maximal operator is unbounded on the constructed reflexive space $\Gamma _{p,w}$ and on its associate space $\Gamma _{p,w}'$. (English) |
| Keyword:
|
Lorentz Gamma space |
| Keyword:
|
reflexivity |
| Keyword:
|
Boyd indices |
| Keyword:
|
Zippin indices |
| MSC:
|
42B25 |
| MSC:
|
46E30 |
| idZBL:
|
Zbl 07442485 |
| idMR:
|
MR4339122 |
| DOI:
|
10.21136/CMJ.2021.0355-20 |
| . |
| Date available:
|
2021-11-08T16:06:35Z |
| Last updated:
|
2024-01-01 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/149249 |
| . |
| 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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| . |
