The lower dimensional Busemann-Petty problem with weights

Document Type

Article

Publication Date

1-1-2006

Abstract

The lower dimensional Busemann-Petty problem asks whether origin-symmetric convex bodies in ℝn with smaller i-dimensional central sections necessarily have smaller volume. A generalization of this problem is studied, when the volumes are measured with weights satisfying certain conditions. The case of hyperplane sections (i = n - 1) has been studied by A. Zvavitch.

Publication Source (Journal or Book title)

Mathematika

First Page

235

Last Page

245

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