# 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} }

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…

## 7 Citations

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. We continue to develop a program in geometric measure theory that seeks to identify how measures in a space interact with canonical families of sets in the space. In particular, extending a theorem…

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