Weighted weak-type inequalities for generalized Hardy operators

Bernardis, Ana Lucia
Martín Reyes, Francisco Javier
Ortega Salvador, P.

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Publication date

December 2006

DOI

10.1155/JIA/2006/62426

Publisher

Hindawi Limited

Journal

Journal of Inequalities and Applications

Abstract

We characterize the pairs of weights (v,w) for which the Hardy-Steklov-type operator Tf(x)=g(x)∫ s(x) h(x) K(x,y)f(y)dy applies Lp (v) into weak- Lq (w), q <p , assuming certain monotonicity conditions on a,s ,h and k.Fil: Bernardis, Ana Lucia. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Santa Fe. Instituto de Matemática Aplicada del Litoral. Universidad Nacional del Litoral. Instituto de Matemática Aplicada del Litoral; ArgentinaFil: Martín Reyes, Francisco Javier. Universidad de Málaga; EspañaFil: Ortega Salvador, P.. Universidad de Málaga; Españ

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Weighted weak-type inequalities for generalized Hardy operators

Abstract

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Weighted weak-type inequalities for generalized Hardy operators

Abstract

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