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Factorizations of weighted Hardy inequalities (1707.07039v1)
Published 21 Jul 2017 in math.CA
Abstract: We present factorizations of weighted Lebesgue, Ce-s` aro and Copson spaces, for weights satisfying the conditions which assure the boundedness of the Hardy's integral operator between weighted Lebesgue spaces. Our results enhance, among other, the best known forms of weighted Hardy inequalities.