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Weighted Norm Inequalities for the Riemann-Liouville and Weyl Fractional Integral Operators
The weight functions u(x) for which Ra, the Riemann-Liouville fractional integral operator of order a > 0, is bounded from Lp(updx) to L9(uq dx), 1 < p < I/a, 1/q = 1/p -a, are characterized.Further, given p, q with 1/q > 1/p-a, the weight functions u > 0 a.e.(resp.v < …