Rank-one theorem and subgraphs of BV functions in Carnot groups
Analysis of PDEs
2017-12-25 v3 Functional Analysis
Metric Geometry
Abstract
We prove a rank-one theorem \`a la G. Alberti for the derivatives of vector-valued maps with bounded variation in a class of Carnot groups that includes Heisenberg groups for . The main tools are properties relating the horizontal derivatives of a real-valued function with bounded variation and its subgraph.
Keywords
Cite
@article{arxiv.1712.02242,
title = {Rank-one theorem and subgraphs of BV functions in Carnot groups},
author = {Sebastiano Don and Annalisa Massaccesi and Davide Vittone},
journal= {arXiv preprint arXiv:1712.02242},
year = {2017}
}