Characterizations are obtained for those pairs of weight functions w, v for which the Hardy operator Tf(x) = /¿v f(s) ds is bounded from the Lorentz space L"((0,oo), vdx) to Lpi((0,oo),wdx), 0 <p, q, r,s < oo.The modified Hardy operators Tnf(x) = x'''Tf(x) for tj real are also treated.
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Eric T. Sawyer (1984) studied this question.
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