Intrinsic Lipschitz Graphs and Vertical β-Numbers in the Heisenberg Group

DOI10.1353/ajm.2019.0028zbMath1426.43003arXiv1606.07703OpenAlexW2964747335WikidataQ109746505 ScholiaQ109746505MaRDI QIDQ5197537

Vasileios Chousionis, Tuomas Orponen, Katrin S. Fässler

Publication date: 18 September 2019

Published in: American Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1606.07703

zbMATH Keywords

Heisenberg group\(\beta\)-numberintrinsic Lipschitz graph

Mathematics Subject Classification ID

Fourier and Fourier-Stieltjes transforms on nonabelian groups and on semigroups, etc. (43A30)

Related Items (13)

The strong geometric lemma for intrinsic Lipschitz graphs in Heisenberg groups ⋮ Generalized rectifiability of measures and the identification problem ⋮ Singular integrals on \(C_{w^\ast}^{1,\alpha}\) regular curves in Banach duals ⋮ Loomis-Whitney inequalities in Heisenberg groups ⋮ Unextendable Intrinsic Lipschitz Curves: ⋮ Riesz transform and vertical oscillation in the Heisenberg group ⋮ Marstrand-Mattila rectifiability criterion for 1-codimensional measures in Carnot groups ⋮ Semmes surfaces and intrinsic Lipschitz graphs in the Heisenberg group ⋮ Singular integrals on regular curves in the Heisenberg group ⋮ Quasiconvexity in the Heisenberg group ⋮ Intrinsically Lipschitz functions with normal target in Carnot groups ⋮ Isoperimetric and Poincaré inequalities on non-self-similar Sierpiński sponges: the borderline case ⋮ Lipschitz graphs and currents in Heisenberg groups

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