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The strong geometric lemma for intrinsic Lipschitz graphs in Heisenberg groups.
- Source :
-
Journal für die Reine und Angewandte Mathematik . Mar2022, Vol. 2022 Issue 784, p251-274. 24p. - Publication Year :
- 2022
-
Abstract
- We show that the β-numbers of intrinsic Lipschitz graphs of Heisenberg groups ℍ n {\mathbb{H}_{n}} are locally Carleson integrable when n ≥ 2 {n\geq 2}. Our main bound uses a novel slicing argument to decompose intrinsic Lipschitz graphs into graphs of Lipschitz functions. A key ingredient in our proof is a Euclidean inequality that bounds the β-numbers of the original graph in terms of the β-numbers of many families of slices. This allows us to use recent work of Fässler and Orponen (2020) which asserts that Lipschitz functions satisfy a Dorronsoro inequality. [ABSTRACT FROM AUTHOR]
- Subjects :
- *ARGUMENT
*CHARTS, diagrams, etc.
*HILBERT-Huang transform
Subjects
Details
- Language :
- English
- ISSN :
- 00754102
- Volume :
- 2022
- Issue :
- 784
- Database :
- Academic Search Index
- Journal :
- Journal für die Reine und Angewandte Mathematik
- Publication Type :
- Academic Journal
- Accession number :
- 155582208
- Full Text :
- https://doi.org/10.1515/crelle-2021-0080