Some new iterated Hardy-type inequalities: the case θ=1
Yükleniyor...
Tarih
2013
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Springer International Publishing Ag
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
In this paper we characterize the validity of the Hardy-type inequality parallel to parallel to integral(infinity)(s)h(z)dz parallel to(p,u,(0,t))parallel to(q,w,(0,infinity)) <= c parallel to h parallel to(1,v,(0,infinity)), where 0 < p < infinity, 0 < q <= +infinity, u, w and v are weight functions on (0, infinity). It is pointed out that this characterization can be used to obtain new characterizations for the boundedness between weighted Lebesgue spaces for Hardy-type operators restricted to the cone of monotone functions and for the generalized Stieltjes operator.
Açıklama
Gogatishvili, Amiran/0000-0003-3459-0355; Gogatishvili, Amiran/0000-0003-3459-0355; Mustafayev, Rza/0000-0002-2806-9646
Anahtar Kelimeler
iterated Hardy inequalities, discretization, weights
Kaynak
Journal Of Inequalities And Applications
WoS Q Değeri
Q2
Scopus Q Değeri
Q1
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Sayı
Künye
Gogatishvili, A., Mustafayev, R. & Persson, LE. Some new iterated Hardy-type inequalities: the case θ=1. J Inequal Appl 2013, 515 (2013).
