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• W2045778356 abstract "Let M be an N-function satisfying the $Delta_2$- condition, let $omega, vp$ be two other functions, $omegage 0$. We study Hardy-type inequalities [ int_{rp} M(omega (x)|u(x)|) {rm exp}(-vp (x))dx le Cint_{rp} M(|u'(x)|) {rm exp}(-vp (x))dx, ] where $u$ belongs to some dilation invariant set ${cal R}$ contained in the space of locally absolutely continuous functions. We give sufficient conditions the triple $(omega,vp,M)$ must satisfy in order to have such inequalities valid for $u$ from a given set ${cal R}$. The set ${cal R}$ can be smaller than the set of Hardy transforms. Bounds for constants, retrieving classical Hardy inequalities with best constants, are also given." @default.
• W2045778356 created "2016-06-24" @default.
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• W2045778356 date "2009-03-26" @default.
• W2045778356 modified "2023-09-27" @default.
• W2045778356 title "On a variant of Hardy inequality between weighted Orlicz spaces" @default.
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