2005/05/30 by Rubin Boris, Boris, Rubin
Mathematics · #44A12 #52A38 #FOS: Mathematics #Functional Analysis (math.FA) #math.FA #msc:44A12 #msc:52A38
paper · pdf · doi:10.48550/arxiv.math/0505665
12 pages
arxiv created 2005/05/30 · arxiv updated 2009/12/01
The generalized Busemann-Petty problem asks whether origin-symmetric convex bodies with lower-dimensional smaller sections necessarily have smaller volume. We study the weighted version of this problem corresponding to the physical situation when bodies are endowed with mass distribution and the relevant sections are measured with attenuation.