Some New Iterated Hardy-Type Inequalities

We characterize the validity of the Hardy-type inequality ∥∥∫s∞h(z)dz   ∥p,u,(0,t)   ∥q,w,(0,  ∞)≤c  ∥h∥θ,v(0,∞), where 0<p<∞, 0<q≤∞, 1<θ≤∞, u, w, and v are weight functions on (0,∞). Some fairly new discretizing and antidiscretizing techniques of independent interest are used....

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Bibliographic Details
Main Authors: A. Gogatishvili, R. CH. Mustafayev, L.-E. Persson
Format: Article
Language:English
Published: Wiley 2012-01-01
Series:Journal of Function Spaces and Applications
Online Access:http://dx.doi.org/10.1155/2012/734194
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