The complex Busemann-Petty problem for arbitrary measures

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dc.creatorZymonopoulou, Marisa
dc.date2008-07-04
dc.date.accessioned2026-07-07T09:48:39Z
dc.date.available2026-07-07T09:48:39Z
dc.descriptionThe complex Busemann-Petty problem asks whether origin symmetric convex bodies in C^n with smaller central hyperplane sections necessarily have smaller volume. The answer is affirmative if n\leq 3 and negative if n\geq 4. In this article we show that the answer remains the same if the volume is replaced by an "almost" arbitrary measure. This result is the complex analogue of Zvavitch's generalization to arbitrary measures of the original real Busemann-Petty problem.
dc.identifierhttps://arxiv.org/abs/0807.0779
dc.identifierhttp://arxiv.org/abs/0807.0779
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/164295
dc.subjectFunctional Analysis
dc.titleThe complex Busemann-Petty problem for arbitrary measures
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