Weighted Iterated Hardy-Type Inequalities
Künye
Gogatishvili, Amiran & Mustafayev, Rza. (2017). Weighted iterated Hardy-type inequalities. Mathematical Inequalities & Applications. 20. 683-728. 10.7153/mia-2017-20-45.Özet
In this paper reduction and equivalence theorems for the boundedness of the composition of a quasilinear operator T with the Hardy and Copson operators in weighted Lebesgue spaces are proved. New equivalence theorems are obtained for the operator T to be bounded in weighted Lebesgue spaces restricted to the cones of monotone functions, which allow to change the cone of non-decreasing functions to the cone of non-increasing functions and vice versa not changing the operator T. New characterizations of the weighted Hardy-type inequalities on the cones of monotone functions are given. The validity of so-called weighted iterated Hardy-type inequalities are characterized.
Kaynak
Mathematical Inequalities & ApplicationsCilt
20Sayı
3Koleksiyonlar
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