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    On Boundedness of Weighted Hardy Operator in Lp and Regularity Condition
    (Springer, 2010) Harman, Aziz; Mamedov, Farman Imran
    We give a new proof for power-type weighted Hardy inequality in the norms of generalized Lebesgue spaces L-p(.) (R-n). Assuming the logarithmic conditions of regularity in a neighborhood of zero and at infinity for the exponents p(x) <= = q(x), <= q(x), necessary and sufficient conditions are proved for the boundedness of the Hardy operator Hf(x) = integral(vertical bar y vertical bar