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  Volume 1, Issue 1, Article 7
Reverse Weighted $L_p$ - Norm Inequalities in Convolutions

    Authors: Saburou Saitoh, Vu Kim Tuan, Masahiro Yamamoto,  
    Keywords: Convolution, weighted $L_p$ inequality, reverse Hölder inequality, inverse problems, Green’s function, integral transform, stability  
    Date Received: 14/11/99  
    Date Accepted: 14/11/99  
    Subject Codes:


    Editors: Josip E. Pecaric,  

Various weighted $ L_p (p>1)$-norm inequalities in convolutions were derived by using Hölder's inequality. Therefore, by using reverse Hölder inequalities one can obtain reverse weighted $ L_p$-norm inequalities. These inequalities are important in studying stability of some inverse problems.

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