| Title:
|
An inequality in Orlicz function spaces with Orlicz norm (English) |
| Author:
|
Wang, Jincai |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
44 |
| Issue:
|
3 |
| Year:
|
2003 |
| Pages:
|
507-514 |
| . |
| Category:
|
math |
| . |
| Summary:
|
We use Simonenko quantitative indices of an $\Cal N$-function $\Phi$ to estimate two parameters $q_\Phi$ and $Q_\Phi$ in Orlicz function spaces $L^\Phi[0,\infty)$ with Orlicz norm, and get the following inequality: $\frac{B_\Phi}{B_\Phi-1}\leq q_\Phi\leq Q_\Phi\leq \frac{A_\Phi}{A_\phi-1}$, where $A_\Phi$ and $B_\Phi$ are Simonenko indices. A similar inequality is obtained in $L^\Phi [0,1]$ with Orlicz norm. (English) |
| Keyword:
|
Orlicz spaces |
| Keyword:
|
Simonenko indices |
| Keyword:
|
$\triangle_2$-condition |
| MSC:
|
46B20 |
| MSC:
|
46E30 |
| idZBL:
|
Zbl 1103.46011 |
| idMR:
|
MR2025816 |
| . |
| Date available:
|
2009-01-08T19:30:43Z |
| Last updated:
|
2012-04-30 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/119404 |
| . |
| 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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| . |
