Abstract

Conditions on weights u(A), v(A) are given so that a clas- sical operator T sends the weighted Lorentz space Lrs(vdx) into Lpq(udx). Here T is either a fractional maximal operator Ma or a fractional integral operator Ia or a Calderon-Zygmund operator. A characterization of this boundedness is obtained for Ma and Ia when the weights have some usual properties and max(r;s) i min(p;q).

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