Majorization revisited: Comparison of norms in interpolation scales
Functional Analysis
2021-07-28 v2
Abstract
We reformulate, modify and extend a comparison criteria of norms obtained by Nazarov-Podkorytov and place it in the general setting of interpolation theory and majorization theory. In particular, we give norm comparison criteria for general scales of interpolation spaces, including non-commutative and Lorentz spaces. As an application, we extend the classical Ball's integral inequality, which lies at the basis of his famous result on sections of the dimensional unit cube.
Keywords
Cite
@article{arxiv.2107.11854,
title = {Majorization revisited: Comparison of norms in interpolation scales},
author = {Sergey V. Astashkin and Konstantin V. Lykov and Mario Milman},
journal= {arXiv preprint arXiv:2107.11854},
year = {2021}
}
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39 pages