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arxiv: 1309.0131 · v1 · pith:37VTVKKGnew · submitted 2013-08-31 · 🧮 math.FA

Weighted Hardy-Littlewood average operators on bilateral grand Lebesgue spaces

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keywords averagebilateralgrandhardy-littlewoodlebesguespacesweightedarticle
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We obtain in this short article the non-asymptotic exact estimations for the norm of (generalized) weighted Hardy-Littlewood average integral operator in the so-called Bilateral Grand Lebesgue Spaces. We also give examples to show the sharpness of these inequalities.

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