Besicovitch covering property for homogeneous distances on the Heisenberg groups

DOI10.4171/JEMS/701zbMath1373.28012arXiv1406.1484WikidataQ109520623 ScholiaQ109520623MaRDI QIDQ2628342

Séverine Rigot, Enrico Le Donne

Publication date: 1 June 2017

Published in: Journal of the European Mathematical Society (JEMS) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1406.1484

zbMATH Keywords

Heisenberg groupshomogeneous distancesBesicovitch covering property

Mathematics Subject Classification ID

Geometric measure and integration theory, integral and normal currents in optimization (49Q15) Set functions and measures on topological spaces (regularity of measures, etc.) (28C15)

Related Items

Isometric embeddings into Heisenberg groups, Towards a theory of area in homogeneous groups, Differentiation of Measures in Metric Spaces, A primer on Carnot groups: homogenous groups, Carnot-Carathéodory spaces, and regularity of their isometries, Regularity properties of spheres in homogeneous groups, Besicovitch and doubling type properties in metric spaces, Remarks about the Besicovitch Covering Property in Carnot groups of step 3 and higher, The Gauss-Green theorem in stratified groups, A koebe distortion theorem for quasiconformal mappings in the Heisenberg group, An ergodic theorem for nonsingular actions of the Heisenberg groups, The Besicovitch covering property in the Heisenberg group revisited

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