A remark on measures of sections of \(L_p\)-balls

We show that the slicing problem holds true for subspaces of \(L_p,p>2\) in the setting of arbitrary measures in place of volume. This generalizes a result of Milman for the original slicing problem.

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Bibliographic Details
Published in:arXiv.org 2016-01
Main Authors: Koldobsky, Alexander, Pajor, Alain
Format: Article
Language:English
Subjects:
Slicing
Subspaces
Online Access:Get full text
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Description
Summary:We show that the slicing problem holds true for subspaces of \(L_p,p>2\) in the setting of arbitrary measures in place of volume. This generalizes a result of Milman for the original slicing problem.
ISSN:2331-8422