We characterize the boundedness of the Hardy operator between weighted amalgams, a problem studied, but not completely solved, by C. Carton-Lebrun, H. P. Heinig and S. C. Hofmann. We also characterize the weighted weak-type inequalities for modified Hardy operators on amalgams.
Abstract. We characterize the weighted weak and strong type (p, q) inequalities for the harmonic averaging operatorTfMathematics subject classification (2000): 26D15, 42B25.
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