Mamedov, Farman I.Harman, Aziz2024-04-242024-04-2420100378-620X1420-8989https://doi.org/10.1007/s00020-010-1765-zhttps://hdl.handle.net/11468/14221A Hardy type two-weighted inequality is investigated for the multidimensional Hardy operator in the norms of generalized Lebesgue spaces L-p(.). Equivalent necessary and sufficient conditions are found for the L-p(.) -> L-q(.) boundedness of the Hardy operator when exponents q(0) < p(0), q(infinity) < p(infinity). It is proved that the condition for such an inequality to hold coincides with the condition for the validity of two-weighted Hardy inequalities with constant exponents if we require of the exponents to be regular near zero and at infinity.eninfo:eu-repo/semantics/closedAccessHardy OperatorHardy InequalityVariable ExponentWeighted InequalityArticle664565592WOS:0002765058000062-s2.0-7795178144010.1007/s00020-010-1765-zQ2Q3