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arxiv: 0908.0546 · v1 · submitted 2009-08-04 · 🧮 math.FA

Poincar\'e Inequalities in Bilateral Grand Lebesgue Spaces

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keywords bilateralgrandinequalitieslebesguespacesasymptoticcalledestimations
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In this paper we obtain the non - asymptotic estimations of Poincare type between function and its gradient in the so - called Bilateral Grand Lebesgue Spaces. We also give some examples to show the sharpness of these inequalities.

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