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Volume 10, Issue 4, Article 104 |
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A Study Of The Real Hardy Inequality
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Authors: |
Mohamad S. Sababheh, |
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Keywords:
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Hardy's inequality, inequalities involving Fourier transforms. |
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Date Received:
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11/11/2008 |
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Date Accepted:
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20/10/2009 |
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Subject Codes: |
42A16, 42A05, 42B30.
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Editors: |
Lubos Pick, |
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Abstract: |
We show that some Hardy-type inequalities on the circle can be proved to be true on the real line. Namely, we discuss the idea of getting Hardy inequalities on the real line by the use of corresponding inequalities on the circle. In the last section, we prove the truth of a certain open problem under some restrictions.
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