# On Rectifiable Measures in Carnot Groups: Existence of Density

@article{Antonelli2020OnRM,
title={On Rectifiable Measures in Carnot Groups: Existence of Density},
author={Gioacchino Antonelli and Andrea Merlo},
journal={Journal of Geometric Analysis},
year={2020},
volume={32}
}
• Published 29 September 2020
• Mathematics
• Journal of Geometric Analysis
In this paper, we start a detailed study of a new notion of rectifiability in Carnot groups: we say that a Radon measure is Ph\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\mathscr {P}}_h$$\end{document}-rectifiable, for h∈N\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage…
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