Dorronsoro's theorem in Heisenberg groups

DOI10.1112/BLMS.12341zbMath1457.46046arXiv1901.04767OpenAlexW3026081266WikidataQ110007334 ScholiaQ110007334MaRDI QIDQ3300088

Tuomas Orponen, Katrin S. Fässler

Publication date: 27 July 2020

Published in: Bulletin of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1901.04767

zbMATH Keywords

Heisenberg groupsDorronsoro's theoremapproximation by affine functionshorizontal Sobolev spaces

Mathematics Subject Classification ID

Function spaces arising in harmonic analysis (42B35) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35)

Related Items (2)

The strong geometric lemma for intrinsic Lipschitz graphs in Heisenberg groups ⋮ Singular integrals on regular curves in the Heisenberg group

Cites Work

• Quantization on nilpotent Lie groups
• Sharp quantitative nonembeddability of the Heisenberg group into superreflexive Banach spaces
• Vertical versus horizontal Poincaré inequalities on the Heisenberg group
• An introduction to the Heisenberg group and the sub-Riemannian isoperimetric problem
• Subelliptic estimates and function spaces on nilpotent Lie groups
• Vertical perimeter versus horizontal perimeter
• The Poincaré inequality for vector fields satisfying Hörmander's condition
• Sobolev regularity of the Beurling transform on planar domains
• Sobolev algebras on Lie groups and Riemannian manifolds
• Quantitative affine approximation for UMD targets
• Fractional maximal functions in metric measure spaces
• vector-valued singular integrals and maximal functions on spaces of homogeneous type
• A Characterization of Potential Spaces
• Intermediate spaces and interpolation, the complex method
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