| Title:
|
Bounded linear functionals on the space of Henstock-Kurzweil integrable functions (English) |
| Author:
|
Lee, Tuo-Yeong |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
59 |
| Issue:
|
4 |
| Year:
|
2009 |
| Pages:
|
1005-1017 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
Applying a simple integration by parts formula for the Henstock-Kurzweil integral, we obtain a simple proof of the Riesz representation theorem for the space of Henstock-Kurzweil integrable functions. Consequently, we give sufficient conditions for the existence and equality of two iterated Henstock-Kurzweil integrals. (English) |
| Keyword:
|
Henstock-Kurzweil integral |
| Keyword:
|
bounded linear functional |
| Keyword:
|
bounded variation |
| MSC:
|
26A39 |
| MSC:
|
28A35 |
| MSC:
|
46E30 |
| MSC:
|
46E99 |
| idZBL:
|
Zbl 1224.26026 |
| idMR:
|
MR2563573 |
| . |
| Date available:
|
2010-07-20T15:54:23Z |
| Last updated:
|
2020-07-03 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/140532 |
| . |
| 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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