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Some new iterated Hardy-type inequalities: the case theta=1

Permanent link
https://hdl.handle.net/10037/26899
DOI
https://doi.org/10.1186/1029-242X-2013-515
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Date
2013-11-08
Type
Journal article
Tidsskriftartikkel
Peer reviewed

Author
Gogatishvili, Amiran; Mustafayev, Rza; Persson, Lars Erik
Abstract
In this paper we characterize the validity of the Hardy-type inequality ∥ ∥ ∫ s∞) h(z)dz ∥ p,u,(0,t) ∥ q,w,(=,∞≤ c∥h∥ 1,v(0,∞) where 0 < p < ∞,0< q ≤ +∞, u, w and v are weight functions on (0,∞). 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.
Publisher
Springer
Citation
Gogatishvili, Mustafayev, Persson LE. Some new iterated Hardy-type inequalities: the case theta=1. Journal of Inequalities and Applications. 2013;2013:515
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  • Artikler, rapporter og annet (datateknologi og beregningsorienterte ingeniørfag) [171]
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