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Sharp Cheeger-Buser Type Inequalities in [Formula: see text] Spaces

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The goal of the paper is to sharpen and generalise bounds involving Cheeger's isoperimetric constant h and the first eigenvalue λ 1 of the Laplacian. A celebrated lower bound of λ 1 in terms of h, λ 1 ≥ h 2 / 4 , was proved by Cheeger ... ...