Abstract
We prove that there exists an absolute constant C so that (Formula presented) for any p > 2, any n ∈ N, any convex body K that is the unit ball of an n-dimensional subspace of Lp, and any measure μ with non-negative even continuous density in ℝn. Here ξ⊥ is the central hyperplane perpendicular to a unit vector ξ ∈ Sn−1, and |K| stands for volume.
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CITATION STYLE
APA
Koldobsky, A., & Pajor, A. (2017). A remark on measures of sections of Lp-balls. In Lecture Notes in Mathematics (Vol. 2169, pp. 213–220). Springer Verlag. https://doi.org/10.1007/978-3-319-45282-1_14
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