Reverse Hardy-type inequalities for supremal operators with measures
Citation
Mustafayev, Rza & Unver, Tugce. (2014). Reverse Hardy-type inequalities for supremal operators with measures. Mathematical Inequalities & Applications. 18(4), 1295-1311.Abstract
In this paper we characterize the validity of the inequalities parallel to g parallel to(p,(a, b),lambda) <= c parallel to u(x)parallel to g parallel to(infinity,(x,b),mu) parallel to(q,(a,b),nu) and parallel to g parallel to(p,(a, b),lambda) <= c parallel to u(x)parallel to g parallel to(infinity,(a,x),mu) parallel to(q,(a,b),nu) for all non-negative Borel measurable functions g on the interval (a, b) subset of R, where 0 < p <= +infinity, 0 < q <= +infinity, lambda, mu and nu are non-negative Borel measures on (a, b), and u is a weight function on (a, b)
Source
Mathematical Inequalities & ApplicationsVolume
18Issue
4Collections
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