Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4607241 | Journal of Approximation Theory | 2013 | 6 Pages |
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.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Yu.V. Malykhin, K.S. Ryutin,