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arxiv: 1501.00355 · v1 · pith:3HMARUAFnew · submitted 2015-01-02 · 🧮 math.FA

Poincare type inequalities for two different Bilateral Grand Lebesgue Spaces

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keywords inequalitiesbilateralgrandlebesguepoincarespacestypebelonging
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In this paper we obtain the non-asymptotic inequalities of Poincare type between function and its weak gradient belonging the so-called Bilateral Grand Lebesgue Spaces over general metric measurable space. We also prove the sharpness of these inequalities.

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