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Characterization of a Two-Weighted Vector-Valued Inequality for Fractional Maximal Operators
Authors:Rakotondratsimba  Y.
Affiliation:(1) EPMI, Institut Polytechnique St-Louis, 13, Boulevard de I'Hautil, 95 092 Cergy-Pontiose, France
Abstract:We give a characterization of the weights u(·) and v(·) for which the fractional maximal operator Ms is bounded from the weighted Lebesgue spaces Lp(lr, vdx) into Lq(lr, udx) whenever 0 le s < n, 1 < p, r < infin, and 1 le q < infin.
Keywords:Vector-valued inequalities  maximal operators  tent spaces
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