Weighted Iterated Hardy-Type Inequalities
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Tarih
2017
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Element
Erişim Hakkı
info:eu-repo/semantics/openAccess
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.
Açıklama
Gogatishvili, Amiran/0000-0003-3459-0355; Gogatishvili, Amiran/0000-0003-3459-0355; Mustafayev, Rza/0000-0002-2806-9646
Anahtar Kelimeler
Quasilinear operators, iterated Hardy inequalities, weights
Kaynak
Mathematical Inequalities & Applications
WoS Q Değeri
Q3
Scopus Q Değeri
Q1
Cilt
20
Sayı
3
Künye
Gogatishvili, Amiran & Mustafayev, Rza. (2017). Weighted iterated Hardy-type inequalities. Mathematical Inequalities & Applications. 20. 683-728. 10.7153/mia-2017-20-45.
