Radon–Nikodym Property and Area Formula for Banach Homogeneous Group Targets

DOI10.1093/imrn/rnt171zbMath1309.22010arXiv1201.3201OpenAlexW2085680471WikidataQ109745495 ScholiaQ109745495MaRDI QIDQ2935161

Valentino Magnani, Tapio Rajala

Publication date: 22 December 2014

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1201.3201

zbMATH Keywords

Radon-Nikodym propertyarea formulaBanach homogeneous group targetsBanach Lie groups and algebras

Mathematics Subject Classification ID

Geometric measure and integration theory, integral and normal currents in optimization (49Q15) Length, area, volume, other geometric measure theory (28A75) Nilpotent and solvable Lie groups (22E25)

Related Items (9)

Universal differentiability sets and maximal directional derivatives in Carnot groups ⋮ Infinite-dimensional Carnot groups and Gâteaux differentiability ⋮ Porosity and differentiability of Lipschitz maps from stratified groups to Banach homogeneous groups ⋮ On the Michor-Mumford phenomenon in the infinite dimensional Heisenberg group ⋮ A remark on vanishing geodesic distances in infinite dimensions ⋮ Umbel convexity and the geometry of trees ⋮ Universal differentiability sets in Carnot groups of arbitrarily high step ⋮ Characterizations of \(k\)-rectifiability in homogeneous groups ⋮ On semilinear equations with free boundary conditions on stratified Lie groups

This page was built for publication: Radon–Nikodym Property and Area Formula for Banach Homogeneous Group Targets