CHARACTERIZATION OF A TWO-WEIGHTED VECTOR-VALUED INEQUALITY FOR FRACTIONAL MAXIMAL OPERATORS

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Abstract

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 ≤ s < n, 1 < p, r < ∞, and 1 ≤ q < ∞.

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