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Volume 3, Issue 2, Article 22 |
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Multidimensional Extension of L.C. Young's Inequality
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Authors: |
Nasser M. Towghi, |
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Keywords:
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Inequalities, Stieltjes Integral, $p$-variation. |
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Date Received:
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10/04/01 |
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Date Accepted:
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16/11/01 |
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Subject Codes: |
26B15,26A42,28A35,28A25.
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Editors: |
Laszlo Losonczi, |
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Abstract: |
A classical inequality of L. C. Young is extended to higher dimensions, and using this extension sufficient conditions for the existence of integral ![$int_{[0,1]^{n}}fdg$](images/030_01_JIPAM/img1.gif) are given, where both  and  are functions of finite higher variations.
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