Article ID Journal Published Year Pages File Type
4607241 Journal of Approximation Theory 2013 6 Pages PDF
Abstract

We seek a function in an NN-dimensional subspace of L1L1 that attains a half (more generally, a given part) of its L1L1-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.

Related Topics
Physical Sciences and Engineering Mathematics Analysis
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