Yu. V. Malykhin

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We seek a function in an N -dimensional subspace of L1 that attains a half (more generally, a given part) of its L1-norm on a set of least possible measure. We prove that such a measure is asymptotically maximal when the space is spanned by independent standard normal variables. This answers a question of Y. Benyamini, A. Kroó, A. Pinkus. c ⃝ 2013 Elsevier(More)
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