Capacities, surface area, and radial sums
type: Item
instance of: scholarly article
title: Capacities, surface area, and radial sums
zbMATH Open document ID: 1163.52001
author: Richard J. Gardner
author: David A. Hartenstine
published in: Advances in Mathematics
publication date: 2009-05-05T00:00:00Z
Mathematics Subject Classification ID: 52A30
Mathematics Subject Classification ID: 52A40
Mathematics Subject Classification ID: 31B15
Mathematics Subject Classification ID: 52A20
Mathematics Subject Classification ID: 35J70
zbMATH DE Number: 5551151
zbMATH Keywords: convex body
zbMATH Keywords: star body
zbMATH Keywords: capacity
zbMATH Keywords: radial sum
zbMATH Keywords: surface area
zbMATH Keywords: geometric tomography
MaRDI profile type: Publication
full work available at URL: j.aim.2008.12.013
OpenAlex ID: W2064224142
cites work: Real Interpolation of Sobolev Spaces on Subdomains of Rn
cites work: Radial averaging transformations with various metrics
cites work: Radial averaging transformations and generalized capacities
cites work: Q5490962
cites work: Capacitary inequalities of the Brunn-Minkowski type
cites work: On the case of equality in the Brunn-Minkowski inequality for capacity
cites work: Theory of capacities
cites work: The Brunn-Minkowski inequality for \(p\)-capacity of convex bodies
cites work: Q3029673
cites work: Q5565773
cites work: Functions whose partial derivatives are measures
cites work: A positive answer to the Busemann-Petty problem in three dimensions
cites work: Intersection Bodies and the Busemann-Petty Problem
cites work: The Brunn-Minkowski inequality
cites work: Q3409343
cites work: The dual Brunn-Minkowski theory for bounded Borel sets: dual affine quermassintegrals and inequalities
cites work: An analytic solution to the Busemann-Petty problem on sections of convex bodies
cites work: Geometric tomography and local stereology.
cites work: Tomography of convex and star bodies
cites work: Q4040640
cites work: Q4039929
cites work: Q4693180
cites work: Q5509729
cites work: A Minkowski problem for electrostatic capacity
cites work: Q3729403
cites work: Q4223584
cites work: Capacitary functions in convex rings
cites work: Q3216972
cites work: Dual mixed volumes
cites work: Intersection bodies and dual mixed volumes
cites work: Radial averaging of domains, estimates for Dirichlet integrals and applications
cites work: Q5695377
cites work: Q3995421
cites work: Q3216832
cites work: Q5287551
cites work: A General Chain Rule for Derivatives and the Change of Variables Formula for the Lebesgue Integral
cites work: On a certain kind of symmetrization and its applications
cites work: A strong maximum principle for some quasilinear elliptic equations
cites work: Q4317868
cites work: Intersection bodies and the Busemann-Petty inequalities in \(\mathbb{R}^ 4\)
cites work: A positive solution to the Busemann-Petty problem in \(\mathbb{R}^4\)
DOI: 10.1016/J.AIM.2008.12.013
description: scientific article; zbMATH DE number 5551151