Factorizations of weighted Hardy inequalities

2017/07/21 by Barza, Sorina, Marcoci, Anca N., Marcoci, Liviu G.
#26D20 #46B25 #Classical Analysis and ODEs (math.CA) #FOS: Mathematics

paper · doi:10.48550/arxiv.1707.07039

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.

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