| Title:
|
A notion of Orlicz spaces for vector valued functions (English) |
| Author:
|
Schappacher, Gudrun |
| Language:
|
English |
| Journal:
|
Applications of Mathematics |
| ISSN:
|
0862-7940 (print) |
| ISSN:
|
1572-9109 (online) |
| Volume:
|
50 |
| Issue:
|
4 |
| Year:
|
2005 |
| Pages:
|
355-386 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
The notion of the Orlicz space is generalized to spaces of Banach-space valued functions. A well-known generalization is based on $N$-functions of a real variable. We consider a more general setting based on spaces generated by convex functions defined on a Banach space. We investigate structural properties of these spaces, such as the role of the delta-growth conditions, separability, the closure of $\mathcal L^{\infty }$, and representations of the dual space. (English) |
| Keyword:
|
vector valued function |
| Keyword:
|
Orlicz space |
| Keyword:
|
Luxemburg norm |
| Keyword:
|
delta-growth condition |
| Keyword:
|
duality |
| MSC:
|
46B10 |
| MSC:
|
46E30 |
| MSC:
|
46E40 |
| idZBL:
|
Zbl 1099.46021 |
| idMR:
|
MR2151462 |
| DOI:
|
10.1007/s10492-005-0028-9 |
| . |
| Date available:
|
2009-09-22T18:22:58Z |
| Last updated:
|
2020-07-02 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/134612 |
| . |
| 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:
|
[9] G. Schappacher: Generalizations of Orlicz spaces of vector valued functions.PhD. Thesis, Karl Franzens University, Graz, 2003. MR 2151462 |
| Reference:
|
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| Reference:
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| . |
