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Volume 1, Issue 1, Article 7 |
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Reverse Weighted $L_p$ - Norm Inequalities in Convolutions
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Authors: |
Saburou Saitoh, Vu Kim Tuan, Masahiro Yamamoto, |
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Keywords:
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Convolution, weighted $L_p$ inequality, reverse Hölder inequality, inverse problems, Green’s function, integral transform, stability |
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Date Received:
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14/11/99 |
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Date Accepted:
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14/11/99 |
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Subject Codes: |
44A35,26D20
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Editors: |
Josip E. Pecaric, |
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Abstract: |
Various weighted  -norm inequalities in convolutions were derived by using Hölder's inequality. Therefore, by using reverse Hölder inequalities one can obtain reverse weighted  -norm inequalities. These inequalities are important in studying stability of some inverse problems.
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