Some new iterated Hardy-type inequalities: the case θ=1
Künye
Gogatishvili, A., Mustafayev, R. & Persson, LE. Some new iterated Hardy-type inequalities: the case θ=1. J Inequal Appl 2013, 515 (2013).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.
Kaynak
Journal Of Inequalities And ApplicationsKoleksiyonlar
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