Reverse Hardy-type inequalities for supremal operators with measures

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Tarih

2015

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Element

Erişim Hakkı

info:eu-repo/semantics/openAccess

Özet

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)

Açıklama

Unver Yildiz, Tugce/0000-0003-0414-8400; Yildiz, Tugce Unver/0000-0003-0414-8400; Mustafayev, Rza/0000-0002-2806-9646

Anahtar Kelimeler

Supremal operator, reverse Hardy-type inequality, Borel measures, weight functions, discretization

Kaynak

Mathematical Inequalities & Applications

WoS Q Değeri

Q3

Scopus Q Değeri

Q1

Cilt

18

Sayı

4

Künye

Mustafayev, Rza & Unver, Tugce. (2014). Reverse Hardy-type inequalities for supremal operators with measures. Mathematical Inequalities & Applications. 18(4), 1295-1311.