Integral geometric measure in separable Banach space
type: Item
instance of: scholarly article
title: Integral geometric measure in separable Banach space
zbMATH Open document ID: 1327.28005
author: Philippe Bouafia
author: Thierry De Pauw
published in: Mathematische Annalen
publication date: 2015-10-01T00:00:00Z
review text: The authors introduce an integral geometric measure in arbitrary separable Banach space, and study its relation with the Haussdorf measure, isodiametric inequality, Radon-Nikodim property, Crofton inequality, Crofton-Kirchheim area formula and so on in various Banach spaces.
reviewed by: Boris A. Kats
Mathematics Subject Classification ID: 28A75
zbMATH DE Number: 6488206
zbMATH Keywords: separable Banach space
zbMATH Keywords: integral geometric measure
zbMATH Keywords: Hausdorff measure
MaRDI profile type: Publication
full work available at URL: s00208-014-1165-9
OpenAlex ID: W2069640274
cites work: Q5317928
cites work: The Hausdorff metric and convergence in measure
cites work: Q4938152
cites work: Q4039749
cites work: On sets of Haar measure zero in abelian Polish groups
cites work: An example pertaining to the failure of the Besicovitch-Federer structure theorem in Hilbert space
cites work: Rectifiable and flat \(G\) chains in a metric space
cites work: Q3134551
cites work: Q5565773
cites work: Q5637422
cites work: Q4323294
cites work: Rectifiable Metric Spaces: Local Structure and Regularity of the Hausdorff Measure
cites work: Q4136031
cites work: Smooth maps, null-sets for integralgeometric measure and analytic capacity
cites work: Q5609102
cites work: On A Decomposition Theorem of Federer
cites work: Q5533878
cites work: AMENABILITY, FREE SUBGROUPS, AND HAAR NULL SETS IN NON-LOCALLY COMPACT GROUPS
cites work: Q3687182
DOI: 10.1007/S00208-014-1165-9
description: scientific article; zbMATH DE number 6488206