A reverse coarea-type inequality in Carnot groups

DOI10.5802/aif.3474OpenAlexW3144361123MaRDI QIDQ2152468

Francesca Corni

Publication date: 8 July 2022

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2005.01034

zbMATH Keywords

packing measurecoarea formulaCarnot groupsspherical measure

Mathematics Subject Classification ID

Analysis on real and complex Lie groups (22E30) Length, area, volume, other geometric measure theory (28A75) Hausdorff and packing measures (28A78)

Cites Work

• A coarea formula for smooth contact mappings of Carnot-Carathéodory spaces
• Differentiability of intrinsic Lipschitz functions within Heisenberg groups
• Regular submanifolds, graphs and area formula in Heisenberg groups
• Non-horizontal submanifolds and coarea formula
• Carnot-Carathéodory metrics and quasiisometries of symmetric spaces of rank 1
• Geometric measure theory.
• Area of intrinsic graphs and coarea formula in Carnot groups
• On the quasisymmetric Hölder-equivalence problem for Carnot groups
• Towards a theory of area in homogeneous groups
• Blow-up of regular submanifolds in Heisenberg groups and applications
• Intrinsic Lipschitz graphs within Carnot groups
• TOWARDS DIFFERENTIAL CALCULUS IN STRATIFIED GROUPS
• Area implies coarea
• Stratified Lie Groups and Potential Theory for their Sub-Laplacians
• A rough calculus approach to level sets in the Heisenberg group
• The coarea formula for real‐valued Lipschitz maps on stratified groups
• Surface measures in Carnot-Carathéodory spaces
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item