| Title:
|
Some full descriptive characterizations of the Henstock-Kurzweil integral in the Euclidean space (English) |
| Author:
|
Tuo-Yeong, Lee |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
55 |
| Issue:
|
3 |
| Year:
|
2005 |
| Pages:
|
625-637 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
Using generalized absolute continuity, we characterize additive interval functions which are indefinite Henstock-Kurzweil integrals in the Euclidean space. (English) |
| Keyword:
|
generalized absolute continuity |
| Keyword:
|
Henstock-Kurzweil integral |
| MSC:
|
26A39 |
| MSC:
|
26B99 |
| MSC:
|
28A12 |
| idZBL:
|
Zbl 1081.26008 |
| idMR:
|
MR2153087 |
| . |
| Date available:
|
2009-09-24T11:26:04Z |
| Last updated:
|
2020-07-03 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/128007 |
| . |
| 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:
|
[12] Lee Tuo Yeong: A full characterization of multipliers for the strong $\rho $-integral in the Euclidean space.Czechoslovak Math. J. 54 (2004), 657–674. MR 2086723, 10.1007/s10587-004-6415-7 |
| Reference:
|
[13] Lee Tuo Yeong: The sharp Riesz-type definition for the Henstock-Kurzweil integral.Real Anal. Exchange 28 (2002/2003), 55–70. MR 1973968 |
| Reference:
|
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| Reference:
|
[15] Lee Tuo Yeong: Some full characterizations of the strong McShane integral.Math. Bohem. 129 (2004), 305–312. Zbl 1080.26006, MR 2092716 |
| Reference:
|
[16] Lu Jitan and Lee Peng Yee: The primitives of Henstock integrable functions in Euclidean space.Bull. London Math. Soc. 31 (1999), 173–180. MR 1664188, 10.1112/S0024609398005347 |
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|
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| . |
